Search Results - "Zarhin, Yuri G"
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Simple Complex Tori of Algebraic Dimension 0
Published in Proceedings of the Steklov Institute of Mathematics (01-03-2023)“…Using Galois theory, we explicitly construct (in all complex dimensions ) an infinite family of simple -dimensional complex tori that enjoy the following…”
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Complex Tori, Theta Groups and Their Jordan Properties
Published in Proceedings of the Steklov Institute of Mathematics (01-11-2019)“…We prove that an analog of Jordan’s theorem on finite subgroups of general linear groups does not hold for the group of bimeromorphic automorphisms of a…”
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Journal Article Conference Proceeding -
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JORDAN PROPERTIES OF AUTOMORPHISM GROUPS OF CERTAIN OPEN ALGEBRAIC VARIETIES
Published in Transformation groups (15-09-2019)“…Let W be a quasiprojective variety over an algebraically closed field of characteristic zero. Assume that W is birational to a product of a smooth projective…”
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Two-dimensional families of hyperelliptic Jacobians with big monodromy
Published in Transactions of the American Mathematical Society (01-05-2016)“…t_1, t_2 \in K-dimensional Jacobian of a hyperelliptic curve y^2= (x-t_1)(x-t_2))u(x) and has big monodromy.]]>…”
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Invariant Brauer group of an abelian variety
Published in Israel journal of mathematics (01-06-2022)“…We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the…”
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Bimeromorphic automorphism groups of certain P1-bundles
Published in European journal of mathematics (2021)“…We call a group G very Jordan if it contains a normal abelian subgroup G 0 such that the orders of finite subgroups of the quotient G / G 0 are bounded by a…”
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Torsion points of small order on hyperelliptic curves
Published in European journal of mathematics (01-06-2022)“…Let C be a hyperelliptic curve of genus g > 1 over an algebraically closed field K of characteristic zero and O one of the ( 2 g + 2 ) Weierstrass points in C…”
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Root lattices in number fields
Published in Bulletin of mathematical sciences (01-12-2021)“…We explore whether a root lattice may be similar to the lattice of integers of a number field K endowed with the inner product ( x , y ) : = Trace K / ℚ ( x ⋅…”
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Almost isomorphic abelian varieties
Published in European journal of mathematics (01-03-2017)“…We study abelian varieties over finitely generated fields K of characteristic zero, whose ℓ -adic Tate modules are isomorphic as Galois modules for all primes…”
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Surjectivity of certain word maps on PSL(2,C) and SL(2,C)
Published in European journal of mathematics (01-09-2016)“…Let n ⩾ 2 be an integer and F n the free group on n generators, its first and second derived subgroups. Let K be an algebraically closed field of…”
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Galois groups of Mori trinomials and hyperelliptic curves with big monodromy
Published in European journal of mathematics (01-03-2016)“…We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the…”
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A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic
Published in International mathematics research notices (2015)Get full text
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Jordan Groups and Geometric Properties of Manifolds
Published in Arnold mathematical journal (12-08-2024)Get full text
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Hyperelliptic Jacobians and Simple Groups U3(2m)
Published in Proceedings of the American Mathematical Society (01-01-2003)“…In a previous paper, the author proved that in characteristic zero the jacobian J(C) of a hyperelliptic curve C: y2=f(x) has only trivial endomorphisms over an…”
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Corrigendum to “The Brauer group and the Brauer–Manin set of products of varieties”
Published in Journal of the European Mathematical Society : JEMS (01-01-2023)“…In his Zentralblatt review of our paper [J. Eur. Math. Soc. 16, 749–768 (2014)], Faltings pointed out that he could not follow the proof of Proposition 2.2. In…”
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Hyperelliptic jacobians and simple groups \mathbf{U}_3(2^m)
Published in Proceedings of the American Mathematical Society (01-01-2003)“…In a previous paper, the author proved that in characteristic zero the jacobian J(C) of a hyperelliptic curve C: y^2=f(x) has only trivial endomorphisms over…”
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Bimeromorphic automorphism groups of certain $$\pmb {{\mathbb {P}}^{1}}$$-bundles
Published in European journal of mathematics (01-06-2021)Get full text
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Jordan groups, conic bundles and abelian varieties
Published in Algebraic geometry (01-03-2017)Get full text
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JORDAN GROUPS AND ELLIPTIC RULED SURFACES
Published in Transformation groups (01-06-2015)“…We prove that an analogue of Jordan’s theorem on finite subgroups of general linear groups holds for the groups of biregular automorphisms of elliptic ruled…”
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Isogenies of abelian varieties over finite fields
Published in Designs, codes, and cryptography (01-12-2015)“…In this paper we give conditions under which two abelian varieties that are defined over a finite field F , and are isogenous over some larger field, are F…”
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