To see the other types of publications on this topic, follow the link: Conjectures de Voisin.

Journal articles on the topic 'Conjectures de Voisin'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 38 journal articles for your research on the topic 'Conjectures de Voisin.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Aprodu, Marian, and Gavril Farkas. "Green’s conjecture for curves on arbitrary K3 surfaces." Compositio Mathematica 147, no. 3 (2011): 839–51. http://dx.doi.org/10.1112/s0010437x10005099.

Full text
Abstract:
AbstractGreen’s conjecture predicts than one can read off special linear series on an algebraic curve, by looking at the syzygies of its canonical embedding. We extend Voisin’s results on syzygies of K3 sections, to the case of K3 surfaces with arbitrary Picard lattice. This, coupled with results of Voisin and Hirschowitz–Ramanan, provides a complete solution to Green’s conjecture for smooth curves on arbitrary K3 surfaces.
APA, Harvard, Vancouver, ISO, and other styles
2

Bini, Gilberto, Robert Laterveer, and Gianluca Pacienza. "Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors." Advances in Geometry 20, no. 1 (2020): 91–108. http://dx.doi.org/10.1515/advgeom-2019-0008.

Full text
Abstract:
AbstractWe study a conjecture, due to Voisin, on 0-cycles on varieties with pg = 1. Using Kimura’s finite dimensional motives and recent results of Vial’s on the refined (Chow–)Künneth decomposition, we provide a general criterion for Calabi–Yau manifolds of dimension at most 5 to verify Voisin’s conjecture. We then check, using in most cases some cohomological computations on the mirror partners, that the criterion can be successfully applied to various examples in each dimension up to 5.
APA, Harvard, Vancouver, ISO, and other styles
3

Shen, Junliang, Qizheng Yin, and Xiaolei Zhao. "Derived categories of surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varieties." Compositio Mathematica 156, no. 1 (2019): 179–97. http://dx.doi.org/10.1112/s0010437x19007735.

Full text
Abstract:
Moduli spaces of stable objects in the derived category of a $K3$ surface provide a large class of holomorphic symplectic varieties. In this paper, we study the interplay between Chern classes of stable objects and zero-cycles on holomorphic symplectic varieties which arise as moduli spaces. First, we show that the second Chern class of any object in the derived category lies in a suitable piece of O’Grady’s filtration on the $\text{CH}_{0}$-group of the $K3$ surface. This solves a conjecture of O’Grady and improves on previous results of Huybrechts, O’Grady, and Voisin. Second, we propose a c
APA, Harvard, Vancouver, ISO, and other styles
4

Schreieder, Stefan. "Refined unramified cohomology of schemes." Compositio Mathematica 159, no. 7 (2023): 1466–530. http://dx.doi.org/10.1112/s0010437x23007236.

Full text
Abstract:
We introduce the notion of refined unramified cohomology of algebraic schemes and prove comparison theorems that identify some of these groups with cycle groups. This generalizes to cycles of arbitrary codimension previous results of Bloch–Ogus, Colliot-Thélène–Voisin, Kahn, Voisin, and Ma. We combine our approach with the Bloch–Kato conjecture, proven by Voevodsky, to show that on a smooth complex projective variety, any homologically trivial torsion cycle with trivial Abel–Jacobi invariant has coniveau $1$ . This establishes a torsion version of a conjecture of Jannsen originally formulated
APA, Harvard, Vancouver, ISO, and other styles
5

Raicu, Claudiu, and Steven V. Sam. "Bi-graded Koszul modules, K3 carpets, and Green's conjecture." Compositio Mathematica 158, no. 1 (2022): 33–56. http://dx.doi.org/10.1112/s0010437x21007703.

Full text
Abstract:
We extend the theory of Koszul modules to the bi-graded case, and prove a vanishing theorem that allows us to show that the canonical ribbon conjecture of Bayer and Eisenbud holds over a field of characteristic $0$ or at least equal to the Clifford index. Our results confirm a conjecture of Eisenbud and Schreyer regarding the characteristics where the generic statement of Green's conjecture holds. They also recover and extend to positive characteristics the results of Voisin asserting that Green's conjecture holds for generic curves of each gonality.
APA, Harvard, Vancouver, ISO, and other styles
6

Shen, Junliang, and Qizheng Yin. "CATEGORIES, ONE-CYCLES ON CUBIC FOURFOLDS, AND THE BEAUVILLE–VOISIN FILTRATION." Journal of the Institute of Mathematics of Jussieu 19, no. 5 (2018): 1601–27. http://dx.doi.org/10.1017/s147474801800049x.

Full text
Abstract:
We explore the connection between $K3$ categories and 0-cycles on holomorphic symplectic varieties. In this paper, we focus on Kuznetsov’s noncommutative $K3$ category associated to a nonsingular cubic 4-fold.By introducing a filtration on the $\text{CH}_{1}$-group of a cubic 4-fold $Y$, we conjecture a sheaf/cycle correspondence for the associated $K3$ category ${\mathcal{A}}_{Y}$. This is a noncommutative analog of O’Grady’s conjecture concerning derived categories of $K3$ surfaces. We study instances of our conjecture involving rational curves in cubic 4-folds, and verify the conjecture for
APA, Harvard, Vancouver, ISO, and other styles
7

Charles, François, and Alena Pirutka. "La conjecture de Tate entière pour les cubiques de dimension quatre." Compositio Mathematica 151, no. 2 (2014): 253–64. http://dx.doi.org/10.1112/s0010437x14007386.

Full text
Abstract:
AbstractWe prove the integral Tate conjecture for cycles of codimension$2$on smooth cubic fourfolds over an algebraic closure of a field finitely generated over its prime subfield and of characteristic different from$2$or$3$. The proof relies on the Tate conjecture with rational coefficients, proved in that setting by the first author, and on an argument of Voisin coming from complex geometry.
APA, Harvard, Vancouver, ISO, and other styles
8

Pirutka, Alena. "Invariants birationnels dans la suite spectrale de Bloch-Ogus." Journal of K-theory 10, no. 3 (2012): 565–82. http://dx.doi.org/10.1017/is012004021jkt191.

Full text
Abstract:
AbstractFor a field k of cohomological dimension d we prove that the groups , (l, car.k) = 1, are birational invariants of smooth projective geometrically integral varieties over k of dimension n. Using the Kato conjecture, which has been recently established by Kerz and Saito [18], we obtain a similar result over a finite field for the groups . We relate one of these invariants with the cokernel of the l-adic cycle class map , which gives an analogue of a result of Colliot-Thélène and Voisin [5] 3.11 over ℂ for varieties over a finite field.
APA, Harvard, Vancouver, ISO, and other styles
9

Laterveer, Robert. "Some Calabi–Yau fourfolds verifying Voisin’s conjecture." Ricerche di Matematica 67, no. 2 (2018): 401–11. http://dx.doi.org/10.1007/s11587-018-0352-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Martin, Olivier. "On a conjecture of Voisin on the gonality of very general abelian varieties." Advances in Mathematics 369 (August 2020): 107173. http://dx.doi.org/10.1016/j.aim.2020.107173.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Laterveer, Robert. "Some results on a conjecture of Voisin for surfaces of geometric genus one." Bollettino dell'Unione Matematica Italiana 9, no. 4 (2016): 435–52. http://dx.doi.org/10.1007/s40574-016-0060-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Gao, Ziyang. "Generic rank of Betti map and unlikely intersections." Compositio Mathematica 156, no. 12 (2020): 2469–509. http://dx.doi.org/10.1112/s0010437x20007435.

Full text
Abstract:
Let $\mathcal {A} \rightarrow S$ be an abelian scheme over an irreducible variety over $\mathbb {C}$ of relative dimension $g$. For any simply-connected subset $\Delta$ of $S^{\mathrm {an}}$ one can define the Betti map from $\mathcal {A}_{\Delta }$ to $\mathbb {T}^{2g}$, the real torus of dimension $2g$, by identifying each closed fiber of $\mathcal {A}_{\Delta } \rightarrow \Delta$ with $\mathbb {T}^{2g}$ via the Betti homology. Computing the generic rank of the Betti map restricted to a subvariety $X$ of $\mathcal {A}$ is useful to study Diophantine problems, e.g. proving the geometric Bogo
APA, Harvard, Vancouver, ISO, and other styles
13

PETERS, CHRIS. "BLOCH-TYPE CONJECTURES AND AN EXAMPLE A THREE-FOLD OF GENERAL TYPE." Communications in Contemporary Mathematics 12, no. 04 (2010): 587–605. http://dx.doi.org/10.1142/s0219199710003932.

Full text
Abstract:
The hypothetical existence of a good theory of mixed motives predicts many deep phenomena related to algebraic cycles. One of these, a generalization of Bloch's conjecture says that "small Hodge diamonds" go with "small Chow groups". Voisin's method [19] (which produces examples with small Chow groups) is analyzed carefully to widen its applicability. A three-fold of general type without 1- and 2-forms is exhibited for which this extension yields Bloch's generalized conjecture.
APA, Harvard, Vancouver, ISO, and other styles
14

Laterveer, Robert, and Charles Vial. "On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties." Canadian Journal of Mathematics 72, no. 2 (2019): 505–36. http://dx.doi.org/10.4153/s0008414x19000191.

Full text
Abstract:
AbstractThis note is about certain locally complete families of Calabi–Yau varieties constructed by Cynk and Hulek, and certain varieties constructed by Schreieder. We prove that the cycle class map on the Chow ring of powers of these varieties admits a section, and that these varieties admit a multiplicative self-dual Chow–Künneth decomposition. As a consequence of both results, we prove that the subring of the Chow ring generated by divisors, Chern classes, and intersections of two cycles of positive codimension injects into cohomology via the cycle class map. We also prove that the small di
APA, Harvard, Vancouver, ISO, and other styles
15

Dan, Ananyo. "On a conjecture by Griffiths and Harris concerning certain Noether–Lefschetz loci." Communications in Contemporary Mathematics 17, no. 05 (2015): 1550002. http://dx.doi.org/10.1142/s0219199715500029.

Full text
Abstract:
For any integer d ≥ 5, the Noether–Lefschetz locus, denoted NL d, parametrizes smooth degree d surfaces in ℙ3 with Picard number at least 2. It is well-known (due to works of Voisin, Green and others) that the largest irreducible component of NL d is of codimension (in the space of all smooth surfaces in ℙ3 of degree d) equal to d-3 and parametrizes surfaces containing a line. In this article we study for an integer 3 ≤ r < d, the sub-locus of NL d, denoted NL r,d, parametrizing surfaces with Picard number at least r. A conjecture of Griffiths and Harris states the largest component of NL r
APA, Harvard, Vancouver, ISO, and other styles
16

Tian, Zhiyu, and Hong R. Zong. "One-cycles on rationally connected varieties." Compositio Mathematica 150, no. 3 (2014): 396–408. http://dx.doi.org/10.1112/s0010437x13007549.

Full text
Abstract:
AbstractWe prove that every curve on a separably rationally connected variety is rationally equivalent to a (non-effective) integral sum of rational curves. That is, the Chow group of 1-cycles is generated by rational curves. Applying the same technique, we also show that the Chow group of 1-cycles on a separably rationally connected Fano complete intersection of index at least 2 is generated by lines. As a consequence, we give a positive answer to a question of Professor Totaro about integral Hodge classes on rationally connected 3-folds. And by a result of Professor Voisin, the general case
APA, Harvard, Vancouver, ISO, and other styles
17

Fu, Lie, Robert Laterveer, and Charles Vial. "Multiplicative Chow–Künneth decompositions and varieties of cohomological K3 type." Annali di Matematica Pura ed Applicata (1923 -) 200, no. 5 (2021): 2085–126. http://dx.doi.org/10.1007/s10231-021-01070-0.

Full text
Abstract:
AbstractGiven a smooth projective variety, a Chow–Künneth decomposition is called multiplicative if it is compatible with the intersection product. Following works of Beauville and Voisin, Shen and Vial conjectured that hyper-Kähler varieties admit a multiplicative Chow–Künneth decomposition. In this paper, based on the mysterious link between Fano varieties with cohomology of K3 type and hyper-Kähler varieties, we ask whether Fano varieties with cohomology of K3 type also admit a multiplicative Chow–Künneth decomposition, and provide evidence by establishing their existence for cubic fourfold
APA, Harvard, Vancouver, ISO, and other styles
18

Laterveer, Robert. "Zero-cycles on self-products of surfaces: some new examples verifying Voisin’s conjecture." Rendiconti del Circolo Matematico di Palermo Series 2 68, no. 2 (2018): 419–31. http://dx.doi.org/10.1007/s12215-018-0367-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Lambert, Claude. "De la nécessité de Désordre dans la Démocratie." Acta Europeana Systemica 6 (July 12, 2020): 41–48. http://dx.doi.org/10.14428/aes.v6i1.56803.

Full text
Abstract:
Dans cet article, je propose dem'appuyer sur une évaluation de dysfonctionnement démocratique partagée par de nombreux citoyens. Pour ce faire, je propose d'appliquer la conjecture de Heinz Von Foerster à la société contemporaine. Laconjecturede von Foerster décrit le rapport de causalité circulaire entre une totalité (par exemple, une collectivité humaine) et ses éléments (les individus qui la composent). Elle établit que plus les relations inter-individuelles sont "rigides"plus le comportement de la totalité apparaîtra aux élémentsindividuels qui la composentcomme doté d'une dynamique propre
APA, Harvard, Vancouver, ISO, and other styles
20

Maulik, Davesh, and Andrei Neguţ. "LEHN’S FORMULA IN CHOW AND CONJECTURES OF BEAUVILLE AND VOISIN." Journal of the Institute of Mathematics of Jussieu, August 3, 2020, 1–39. http://dx.doi.org/10.1017/s1474748020000377.

Full text
Abstract:
The Beauville–Voisin conjecture for a hyperkähler manifold $X$ states that the subring of the Chow ring $A^{\ast }(X)$ generated by divisor classes and Chern characters of the tangent bundle injects into the cohomology ring of $X$ . We prove a weak version of this conjecture when $X$ is the Hilbert scheme of points on a K3 surface for the subring generated by divisor classes and tautological classes. This in particular implies the weak splitting conjecture of Beauville for these geometries. In the process, we extend Lehn’s formula and the Li–Qin–Wang $W_{1+\infty }$ algebra action from cohomol
APA, Harvard, Vancouver, ISO, and other styles
21

Ancona, Giuseppe, Mattia Cavicchi, Robert Laterveer, and Giulia Saccà. "Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations." Journal of the London Mathematical Society 111, no. 4 (2025). https://doi.org/10.1112/jlms.70133.

Full text
Abstract:
AbstractWe show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies the hypotheses of Ngô's support theorem. Verifying that the LSV tenfolds do satisfy those hypotheses is of independent interest. Another point of independent interest of the paper is the definition and the study of the Lefschetz standard conjectu
APA, Harvard, Vancouver, ISO, and other styles
22

Li, Zhiyuan, and Ruxuan Zhang. "Beauville–Voisin Filtrations on Zero-Cycles of Moduli Space of Stable Sheaves on K3 Surfaces." International Mathematics Research Notices, June 13, 2022. http://dx.doi.org/10.1093/imrn/rnac161.

Full text
Abstract:
Abstract The Beauville–Voisin conjecture predicts the existence of a filtration on a projective hyper-Kähler manifold opposite to the conjectural Bloch–Beilinson filtration, called the Beauville–Voisin filtration. In [13], Voisin has introduced a filtration on zero-cycles of an arbitrary projective hyper-Kähler manifold. On the moduli space of stable objects on a projective K3 surface, there are other candidates constructed by Shen–Yin–Zhao and Barros–Flapan–Marian–Silversmith in [1, 10] and more recently by Vial in [11] from a different point of view. According to the work in [11], all of the
APA, Harvard, Vancouver, ISO, and other styles
23

Oberdieck, Georg. "Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties." Forum of Mathematics, Sigma 10 (2022). http://dx.doi.org/10.1017/fms.2022.10.

Full text
Abstract:
Abstract We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a holomorphic-symplectic variety of $K3^{[n]}$ -type. This yields strong evidence for a new conjectural formula that expresses Gromov–Witten invariants of this geometry for arbitrary classes in terms of primitive classes. The formula generalizes an earlier conjecture by Pandharipande and the author for K3 surfaces. Using Gromov–Witten techniques, we also determine the generating series of Noether–Lefschetz numbers of a general pencil of Debarre–Voisin varieties. This reproves and extends a result of Debar
APA, Harvard, Vancouver, ISO, and other styles
24

Totaro, Burt. "THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO." Journal of the Institute of Mathematics of Jussieu, February 18, 2020, 1–21. http://dx.doi.org/10.1017/s1474748019000665.

Full text
Abstract:
We prove the integral Hodge conjecture for all 3-folds $X$ of Kodaira dimension zero with $H^{0}(X,K_{X})$ not zero. This generalizes earlier results of Voisin and Grabowski. The assumption is sharp, in view of counterexamples by Benoist and Ottem. We also prove similar results on the integral Tate conjecture. For example, the integral Tate conjecture holds for abelian 3-folds in any characteristic.
APA, Harvard, Vancouver, ISO, and other styles
25

Fu, L. "Beauville-Voisin Conjecture for Generalized Kummer Varieties." International Mathematics Research Notices, April 7, 2014. http://dx.doi.org/10.1093/imrn/rnu053.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Laterveer, Robert, and Charles Vial. "The Beauville–Voisin–Franchetta conjecture and LLSS eightfolds." Indagationes Mathematicae, November 2024. http://dx.doi.org/10.1016/j.indag.2024.10.004.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Li, Zhiyuan, and Xun Zhang. "Deligne-Beilinson cohomology of the universal K3 surface." Forum of Mathematics, Sigma 10 (2022). http://dx.doi.org/10.1017/fms.2022.60.

Full text
Abstract:
Abstract O’Grady’s generalised Franchetta conjecture (GFC) is concerned with codimension 2 algebraic cycles on universal polarised K3 surfaces. In [4], this conjecture has been studied in the Betti cohomology groups. Following a suggestion of Voisin, we investigate this problem in the Deligne-Beilinson (DB) cohomology groups. In this paper, we develop the theory of Deligne-Beilinson cohomology groups on (smooth) Deligne-Mumford stacks. Using the automorphic cohomology group and Noether-Lefschetz theory, we compute the 4th DB-cohomology group of universal oriented polarised K3 surfaces with at
APA, Harvard, Vancouver, ISO, and other styles
28

Dan, Ananyo. "On a conjecture of Harris." Communications in Contemporary Mathematics, June 15, 2020, 2050028. http://dx.doi.org/10.1142/s0219199720500285.

Full text
Abstract:
For [Formula: see text], the Noether–Lefschetz locus [Formula: see text] parametrizes smooth, degree [Formula: see text] surfaces in [Formula: see text] with Picard number at least 2. A conjecture of Harris states that there are only finitely many irreducible components of the Noether–Lefschetz locus of non-maximal codimension. Voisin showed that the conjecture is false for sufficiently large [Formula: see text], but is true for [Formula: see text]. She also showed that for [Formula: see text], there are finitely many reduced, irreducible components of [Formula: see text] of non-maximal codime
APA, Harvard, Vancouver, ISO, and other styles
29

Colliot-Thélène, Jean-Louis, and Alena Pirutka. "Troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique sur un corps de fonctions d'une variable." Épijournal de Géométrie Algébrique Volume 2 (December 10, 2018). http://dx.doi.org/10.46298/epiga.2018.volume2.3950.

Full text
Abstract:
En combinant une m\'ethode de C. Voisin avec la descente galoisienne sur le groupe de Chow en codimension $2$, nous montrons que le troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique lisse d\'efini sur le corps des fonctions d'une courbe complexe est nul. Ceci implique que la conjecture de Hodge enti\`ere pour les classes de degr\'e 4 vaut pour les vari\'et\'es projectives et lisses de dimension 4 fibr\'ees en solides cubiques au-dessus d'une courbe, sans restriction sur les fibres singuli\`eres. --------------- We prove that the third unramified cohomology group of a smooth
APA, Harvard, Vancouver, ISO, and other styles
30

Billi, Simone, and Annalisa Grossi. "Non-symplectic Automorphisms of Prime Order of O’Grady’s Tenfolds and Cubic Fourfolds." International Mathematics Research Notices 2025, no. 12 (2025). https://doi.org/10.1093/imrn/rnaf159.

Full text
Abstract:
Abstract We give a lattice-theoretic classification of non-symplectic automorphisms of prime order of irreducible holomorphic symplectic manifolds of $\operatorname{OG10}$ type. We determine which automorphisms are induced by a non-symplectic automorphism of prime order of a cubic fourfold on the associated Laza–Saccà–Voisin manifolds, giving a geometric and lattice-theoretic description of the algebraic and transcendental lattices of the cubic fourfold. As an application we discuss the rationality conjecture for a general cubic fourfold with a non-symplectic automorphism of prime order.
APA, Harvard, Vancouver, ISO, and other styles
31

Ottem, John Christian, and Fumiaki Suzuki. "An $${\mathcal {O}}$$-acyclic variety of even index." Mathematische Annalen, March 10, 2023. http://dx.doi.org/10.1007/s00208-023-02581-2.

Full text
Abstract:
AbstractWe give the first examples of $${\mathcal {O}}$$ O -acyclic smooth projective geometrically connected varieties over the function field of a complex curve, whose index is not equal to one. More precisely, we construct a family of Enriques surfaces over $${\mathbb {P}}^{1}$$ P 1 such that any multi-section has even degree over the base $${\mathbb {P}}^{1}$$ P 1 and show moreover that we can find such a family defined over $${\mathbb {Q}}$$ Q . This answers affirmatively a question of Colliot-Thélène and Voisin. Furthermore, our construction provides counterexamples to: the failure of th
APA, Harvard, Vancouver, ISO, and other styles
32

Schreieder, Stefan. "A moving lemma for cohomology with support." Épijournal de Géométrie Algébrique Special volume in honour of... (December 24, 2024). https://doi.org/10.46298/epiga.2024.10038.

Full text
Abstract:
For a natural class of cohomology theories with support (including \'etale or pro-\'etale cohomology with suitable coefficients), we prove a moving lemma for cohomology classes with support on smooth quasi-projective k-varieties that admit a smooth projective compactification (e.g. if char(k)=0). This has the following consequences for such k-varieties and cohomology theories: a local and global generalization of the effacement theorem of Quillen, Bloch--Ogus, and Gabber, a finite level version of the Gersten conjecture in characteristic zero, and a generalization of the injectivity property a
APA, Harvard, Vancouver, ISO, and other styles
33

Laterveer, Robert, and Charles Vial. "Zero-cycles on double EPW sextics." Communications in Contemporary Mathematics, July 27, 2020, 2050040. http://dx.doi.org/10.1142/s0219199720500406.

Full text
Abstract:
The Chow rings of hyperKähler varieties are conjectured to have a particularly rich structure. In this paper, we focus on the locally complete family of double EPW sextics and establish some properties of their Chow rings. First, we prove a Beauville–Voisin type theorem for zero-cycles on double EPW sextics; precisely, we show that the codimension-4 part of the subring of the Chow ring of a double EPW sextic generated by divisors, the Chern classes and codimension-2 cycles invariant under the anti-symplectic covering involution has rank one. Second, for double EPW sextics birational to the Hil
APA, Harvard, Vancouver, ISO, and other styles
34

Villaflor Loyola, R. "Small codimension components of the Hodge locus containing the Fermat variety." Communications in Contemporary Mathematics, May 17, 2021, 2150053. http://dx.doi.org/10.1142/s021919972150053x.

Full text
Abstract:
We characterize the smallest codimension components of the Hodge locus of smooth degree [Formula: see text] hypersurfaces of the projective space [Formula: see text] of even dimension [Formula: see text], passing through the Fermat variety (with [Formula: see text]). They correspond to the locus of hypersurfaces containing a linear algebraic cycle of dimension [Formula: see text]. Furthermore, we prove that among all the local Hodge loci associated to a nonlinear cycle passing through Fermat, the ones associated to a complete intersection cycle of type [Formula: see text] attain the minimal po
APA, Harvard, Vancouver, ISO, and other styles
35

Claesson, Anders, and Svante Linusson. "$n!$ matchings, $n!$ posets (extended abstract)." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AN,..., Proceedings (2010). http://dx.doi.org/10.46298/dmtcs.2817.

Full text
Abstract:
International audience We show that there are $n!$ matchings on $2n$ points without, so called, left (neighbor) nestings. We also define a set of naturally labelled $(2+2)$-free posets, and show that there are $n!$ such posets on $n$ elements. Our work was inspired by Bousquet-Mélou, Claesson, Dukes and Kitaev [J. Combin. Theory Ser. A. 117 (2010) 884―909]. They gave bijections between four classes of combinatorial objects: matchings with no neighbor nestings (due to Stoimenow), unlabelled $(2+2)$-free posets, permutations avoiding a specific pattern, and so called ascent sequences. We believe
APA, Harvard, Vancouver, ISO, and other styles
36

Konvalinka, Matjaž, and Igor Pak. "Cayley and Tutte polytopes." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AR,..., Proceedings (2012). http://dx.doi.org/10.46298/dmtcs.3055.

Full text
Abstract:
International audience Cayley polytopes were defined recently as convex hulls of Cayley compositions introduced by Cayley in 1857. In this paper we resolve Braun's conjecture, which expresses the volume of Cayley polytopes in terms of the number of connected graphs. We extend this result to a two-variable deformations, which we call Tutte polytopes. The volume of the latter is given via an evaluation of the Tutte polynomial of the complete graph. Our approach is based on an explicit triangulation of the Cayley and Tutte polytope. We prove that simplices in the triangulations correspond to labe
APA, Harvard, Vancouver, ISO, and other styles
37

Laterveer, Robert. "Zero-cycles on self-products of varieties: some elementary examples verifying Voisin’s conjecture." Bollettino dell'Unione Matematica Italiana, September 17, 2020. http://dx.doi.org/10.1007/s40574-020-00259-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Fink, Simon, Eva Ruffing, Tobias Burst, and Sara Katharina Chinnow. "Emotional citizens, detached interest groups? The use of emotional language in public policy consultations." Policy Sciences, May 14, 2023. http://dx.doi.org/10.1007/s11077-023-09508-3.

Full text
Abstract:
AbstractIn public consultations, policymakers give stakeholders access to the policymaking process in exchange for technical or political information. Our article proposes to analyze not only the policy positions, but the emotional content of consultation contributions. In our descriptive study, we explore two conjectures: First, citizens contributions to public consultations display more emotions than contributions by corporate actors, and second, contributions mentioning concrete policies display more emotions than contributions referring to the abstract policy framework. We use dictionary-b
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!