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Relevant bibliographies by topics / Isomorphisms (Mathematics) Algebraic varieties

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Academic literature on the topic 'Isomorphisms (Mathematics) Algebraic varieties'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Isomorphisms (Mathematics) Algebraic varieties"

1

Kowalski, Tomasz, Francesco Paoli, and Matthew Spinks. "Quasi-subtractive varieties." Journal of Symbolic Logic 76, no. 4 (2011): 1261–86. http://dx.doi.org/10.2178/jsl/1318338848.

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AbstractVarieties like groups, rings, or Boolean algebras have the property that, in any of their members, the lattice of congruences is isomorphic to a lattice of more manageable objects, for example normal subgroups of groups, two-sided ideals of rings, filters (or ideals) of Boolean algebras. Abstract algebraic logic can explain these phenomena at a rather satisfactory level of generality: in every member A of a τ-regular variety the lattice of congruences of A is isomorphic to the lattice of deductive filters on A of the τ-assertional logic of . Moreover, if has a constant 1 in its type an

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Petković, T., M. Ćirić, and S. Bogdanović. "On Correspondences Between Unary Algebras, Automata, Semigroups and Congruences." Algebra Colloquium 13, no. 03 (2006): 495–506. http://dx.doi.org/10.1142/s1005386706000447.

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In this paper, we give correspondences between unary algebras, semigroups and congruences on free semigroups. We establish isomorphisms between the complete lattice of varieties of semigroups and the complete lattices of families of varieties of unary algebras, and families of filters of congruences on free semigroups. Similar correspondences between generalized varieties and pseudovarieties of semigroups and corresponding families of algebras and congruences are also established.

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Hébert, Michel. "Characterizations of Axiomatic Categories of Models Canonically Isomorphic to (Quasi-)Varieties." Canadian Mathematical Bulletin 31, no. 3 (1988): 287–300. http://dx.doi.org/10.4153/cmb-1988-042-x.

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AbstractLet be the category of all homomorphisms (i.e. functions preserving satisfaction of atomic formulas) between models of a set of sentences T in a finitary first-order language L. Functors between two such categories are said to be canonical if they commute with the forgetful functors. The following properties are characterized syntactically and also in terms of closure of for some algebraic constructions (involving products, equalizers, factorizations and kernel pairs): There is a canonical isomorphism from to a variety (resp. quasivariety) in a finitary expansion of L which assigns to

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Smith, Jack. "Quantum Cohomology and Closed-String Mirror Symmetry for Toric Varieties." Quarterly Journal of Mathematics 71, no. 2 (2020): 395–438. http://dx.doi.org/10.1093/qmathj/haz056.

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Abstract We give a short new computation of the quantum cohomology of an arbitrary smooth (semiprojective) toric variety $X$, by showing directly that the Kodaira–Spencer map of Fukaya–Oh–Ohta–Ono defines an isomorphism onto a suitable Jacobian ring. In contrast to previous results of this kind, $X$ need not be compact. The proof is based on the purely algebraic fact that a class of generalized Jacobian rings associated to $X$ are free as modules over the Novikov ring. When $X$ is monotone the presentation we obtain is completely explicit, using only well-known computations with the standard c

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Abe, Takuro, Tatsuya Horiguchi, Mikiya Masuda, Satoshi Murai, and Takashi Sato. "Hessenberg varieties and hyperplane arrangements." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 764 (2020): 241–86. http://dx.doi.org/10.1515/crelle-2018-0039.

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AbstractGiven a semisimple complex linear algebraic group {{G}} and a lower ideal I in positive roots of G, three objects arise: the ideal arrangement {\mathcal{A}_{I}}, the regular nilpotent Hessenberg variety {\operatorname{Hess}(N,I)}, and the regular semisimple Hessenberg variety {\operatorname{Hess}(S,I)}. We show that a certain graded ring derived from the logarithmic derivation module of {\mathcal{A}_{I}} is isomorphic to {H^{*}(\operatorname{Hess}(N,I))} and {H^{*}(\operatorname{Hess}(S,I))^{W}}, the invariants in {H^{*}(\operatorname{Hess}(S,I))} under an action of the Weyl group W of

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PIN, JEAN-ERIC, and DENIS THÉRIEN. "THE BIDETERMINISTIC CONCATENATION PRODUCT." International Journal of Algebra and Computation 03, no. 04 (1993): 535–55. http://dx.doi.org/10.1142/s0218196793000305.

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This paper is devoted to the study of the bideterministic concatenation product, a variant of the concatenation product. We give an algebraic characterization of the varieties of languages closed under this product. More precisely, let V be a variety of monoids, [Formula: see text] the corresponding variety of languages and [Formula: see text] the smallest variety containing [Formula: see text] and the bideterministic products of two languages of [Formula: see text]. We give an algebraic description of the variety of monoids [Formula: see text] corresponding to [Formula: see text]. For instanc

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FARNSTEINER, ROLF. "AUSLANDER–REITEN COMPONENTS FOR G1T-MODULES." Journal of Algebra and Its Applications 04, no. 06 (2005): 739–59. http://dx.doi.org/10.1142/s0219498805001502.

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In this paper we study the Auslander–Reiten quiver of the highest weight category of finite-dimensional G1T-modules, associated to a smooth reductive algebraic group G. By relating properties of stable Auslander–Reiten components to those of their rank varieties we show that there are at most three isomorphism types of these components. For the Frobenius kernels G1Tr the maximal ranks of tubes are determined.

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Biswas, Indranil, Arijit Dey, and Mainak Poddar. "On equivariant Serre problem for principal bundles." International Journal of Mathematics 29, no. 09 (2018): 1850054. http://dx.doi.org/10.1142/s0129167x18500544.

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Let [Formula: see text] be a [Formula: see text]-equivariant algebraic principal [Formula: see text]-bundle over a normal complex affine variety [Formula: see text] equipped with an action of [Formula: see text], where [Formula: see text] and [Formula: see text] are complex linear algebraic groups. Suppose [Formula: see text] is contractible as a topological [Formula: see text]-space with a dense orbit, and [Formula: see text] is a [Formula: see text]-fixed point. We show that if [Formula: see text] is reductive, then [Formula: see text] admits a [Formula: see text]-equivariant isomorphism wit

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9

Kwieciński, Michał. "A Gröbner basis criterion for isomorphisms of algebraic varieties." Journal of Pure and Applied Algebra 74, no. 3 (1991): 275–79. http://dx.doi.org/10.1016/0022-4049(91)90117-k.

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Donsig, A. P., T. D. Hudson, and E. G. Katsoulis. "Algebraic isomorphisms of limit algebras." Transactions of the American Mathematical Society 353, no. 3 (2000): 1169–82. http://dx.doi.org/10.1090/s0002-9947-00-02714-8.

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Dissertations / Theses on the topic "Isomorphisms (Mathematics) Algebraic varieties"

1

Krashen, Daniel Reuben. "Birational isomorphisms between Severi-Brauer varieties." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3034558.

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2

Turner, Simon Charles. "Differential operators on algebraic varieties." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386865.

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Cordner, Nathan James. "Isomorphisms of Landau-Ginzburg B-Models." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5882.

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Landau-Ginzburg mirror symmetry predicts isomorphisms between graded Frobenius algebras (denoted A and B) that are constructed from a nondegenerate quasihomogeneous polynomial W and a related group of symmetries G. In 2013, Tay proved that given two polynomials W1, W2 with the same quasihomogeneous weights and same group G, the corresponding A-models built with (W1, G) and (W2, G) are isomorphic. An analogous theorem for isomorphisms between orbifolded B-models remains to be found. This thesis investigates isomorphisms between B-models using polynomials in two variables in search of such a th

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4

Zong, Hong R. "Topics in birational geometry of algebraic varieties." Thesis, Princeton University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3665359.

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<p> Various questions related to birational properties of algebraic varieties are concerned. </p><p> Rationally connected varieties are recognized as the buildings blocks of all varieties by the Minimal Model theory. We 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. As a consequence, we solve a question of Professor Burt Totaro on integral Hodge classes on rationally connected 3-folds. And by a result of Professor Claire Vois

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Haydon, James Henri. "Étale homotopy sections of algebraic varieties." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:88019ba2-a589-4179-ad7f-1eea234d284c.

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We define and study the fundamental pro-finite 2-groupoid of varieties X defined over a field k. This is a higher algebraic invariant of a scheme X, analogous to the higher fundamental path 2-groupoids as defined for topological spaces. This invariant is related to previously defined invariants, for example the absolute Galois group of a field, and Grothendieck’s étale fundamental group. The special case of Brauer-Severi varieties is considered, in which case a “sections conjecture” type theorem is proved. It is shown that a Brauer-Severi variety X has a rational point if and only if its étale

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Zahariuc, Adrian Ioan. "Degenerations, Log K3 Pairs and Low Genus Curves on Algebraic Varieties." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493440.

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Marino, Nicholas John. "Vector Bundles and Projective Varieties." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1544457943307018.

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Shelestunova, Veronika. "Infinite Sets of D-integral Points on Projective Algebrain Varieties." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1192.

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Let <em>X</em>(<em>K</em>) ⊂ <strong>P</strong><sup><em>n</em></sup> (<em>K</em>) be a projective algebraic variety over <em>K</em>, and let <em>D</em> be a subset of <strong>P</strong><sup><em>n</em></sup><sub><em>OK</em></sub> such that the codimension of <em>D</em> with respect to <em>X</em> ⊂ <strong>P</strong><sup><em>n</em></sup><sub><em>OK</em></sub> is two. We are interested in points <em>P</em> on <em>X</em>(<em>K</em>) with the property that the intersection of the closure of <em>P</em> and <em>D</em> is empty in <strong>P</strong><sup><em>n</em></sup><sub><em>OK</em></sub>

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Byun, Eui Won James. "Affine varieties, Groebner basis, and applications." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1611.

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Nash, Evan D. Nash. "Extended Tropicalization of Spherical Varieties." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1523979975350178.

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Books on the topic "Isomorphisms (Mathematics) Algebraic varieties"

1

Peyre, Emmanuel. Rational Points on Algebraic Varieties. Birkhäuser Basel, 2001.

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service), SpringerLink (Online, ed. Questions on Algebraic Varieties. Springer-Verlag Berlin Heidelberg, 2011.

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3

Kulikov, Viktor S. Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians. Springer Berlin Heidelberg, 1998.

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4

Roberts, Joel. Projective embeddings of algebraic varieties. Universidad Nacional Autónoma de México, 1988.

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1954-, Peternell Th, ed. Geometry of higher dimensional algebraic varieties. Birkhäuser Verlag, 1997.

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Mumford, David. Algebraic geometry I: Complex projective varieties. Springer, 1995.

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The red book of varieties and schemes. Springer-Verlag, 1988.

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Friedlander, E. M. Filtrations on the homology of algebraic varieties. American Mathematical Society, 1994.

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9

Cremona, John E. Modular Curves and Abelian Varieties. Birkhäuser Basel, 2004.

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Fischer, Gerd. Ruled Varieties: An Introduction to Algebraic Differential Geometry. Vieweg+Teubner Verlag, 2001.

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Book chapters on the topic "Isomorphisms (Mathematics) Algebraic varieties"

1

Crespo, Teresa, and Zbigniew Hajto. "Algebraic varieties." In Graduate Studies in Mathematics. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/122/02.

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Mangolte, Frédéric. "Algebraic Varieties." In Springer Monographs in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43104-4_1.

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Siqveland, Arvid. "Noncommutative Algebraic Varieties." In Springer Proceedings in Mathematics & Statistics. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-55361-5_16.

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Harari, David. "Weak Approximation on Algebraic Varieties." In Progress in Mathematics. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8170-8_3.

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Silhol, Robert. "Preliminaries on real algebraic varieties." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0088816.

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Ciliberto, Ciro. "The Geometry of Algebraic Varieties." In Development of Mathematics, 1950–2000. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8968-1_11.

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Johnson, F. E. A., and E. G. Rees. "The fundamental groups of algebraic varieties." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0084738.

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McConnell, J., and J. Robson. "Rings of differential operators on algebraic varieties." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/030/16.

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Denef, Jan, and François Loeser. "Geometry on Arc Spaces of Algebraic Varieties." In European Congress of Mathematics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8268-2_19.

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Kollár, János. "Fundamental Groups and Path Lifting for Algebraic Varieties." In Trends in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61958-9_6.

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