Relevant bibliographies by topics / Conjectures de Voisin

Contents

  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Conjectures de Voisin'

Author: Grafiati
Published: 7 July 2024
Last updated: 31 July 2025

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

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources 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.

Journal articles on the topic "Conjectures de Voisin"

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
More sources

Dissertations / Theses on the topic "Conjectures de Voisin"

1

Zangani, Natascia. "Voisin’s conjecture on Todorov surfaces." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/266236.

Full text
Abstract:
The influence of Chow groups on singular cohomology is motivated by classical results by Mumford and Roitman and has been investigated extensively. On the other hand, the converse influence is rather conjectural and it takes place in the framework of the ``philosophy of mixed motives'', which is mainly due to Grothendieck, Bloch and Beilinson. In the spirit of exploring this influence, Voisin formulated in 1996 a conjecture on 0--cycles on the self--product of surfaces of geometric genus one. There are few examples in which Voisin's conjecture has been verified, but it is still open for a ge
APA, Harvard, Vancouver, ISO, and other styles
2

Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.

Full text
Abstract:
Cette thèse est consacrée à l'étude des cycles algébriques dans les variétés hyper-Kähleriennes projectives et les variétés de Calabi-Yau strictes. Elle contribue à la compréhension des conjectures de Beauville et de Voisin sur les anneaux de Chow des variétés hyper-kählériennes projectives et des variétés de Calabi-Yau strictes. Elle étudie également certains invariants birationnels des variétés hyper-kählériennes projectives.La première partie de la thèse, parue dans Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] et présentée dans le c
APA, Harvard, Vancouver, ISO, and other styles
3

Zangani, Natascia. "Voisin’s conjecture on Todorov surfaces." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/266236.

Full text
Abstract:
The influence of Chow groups on singular cohomology is motivated by classical results by Mumford and Roitman and has been investigated extensively. On the other hand, the converse influence is rather conjectural and it takes place in the framework of the ``philosophy of mixed motives'', which is mainly due to Grothendieck, Bloch and Beilinson. In the spirit of exploring this influence, Voisin formulated in 1996 a conjecture on 0--cycles on the self--product of surfaces of geometric genus one. There are few examples in which Voisin's conjecture has been verified, but it is still open for a ge
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Conjectures de Voisin' for particular source types:
Journal articles
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!

To the bibliography