Search Results - "BANDMAN, TATIANA"
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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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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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Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Published in Open mathematics (Warsaw, Poland) (01-02-2014)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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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 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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Jordan groups, conic bundles and abelian varieties
Published in Algebraic geometry (01-03-2017)Get full text
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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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Criteria for equidistribution of solutions of word equations on SL(2)
Published in Journal of algebra (15-05-2013)“…We study equidistribution of solutions of word equations of the form w(x,y)=g in the family of finite groups SL(2,q). We provide criteria for equidistribution…”
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JORDAN GROUPS AND ALGEBRAIC 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 algebraic…”
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Equations in simple Lie algebras
Published in Journal of algebra (01-04-2012)“…We prove that for a given element P(X1,…,Xd) of the finitely generated free Lie algebra Ld, the induced map P:gd→g is dominant for any Chevalley algebra g,…”
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On ℂ-fibrations over projective curves
Published in The Michigan mathematical journal (01-12-2008)Get full text
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Simple Complex Tori of Algebraic Dimension 0
Published 18-06-2021“…Proc. Steklov Inst. Math. 320 (2023), 21--38; available at https://link.springer.com/article/10.1134/S0081543823010029 Using Galois theory, we construct…”
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Automorphism groups of $P^1$-bundles over a non-uniruled base
Published 11-03-2021“…Uspekhi Mat. Nauk, 78:1(469) (2023), 3--66 In this survey we discuss holomorphic $\mathbb{P}^1$-bundles $p: X \to Y$ over a non-uniruled complex compact…”
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Bimeromorphic automorphisms groups of certain conic bundles
Published 13-10-2019“…We study the groups of biholomorphic and bimeromorphic automorphisms of conic bundles over certain compact complex manifolds of algebraic dimension zero…”
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Jordan properties of automorphism groups of certain open algebraic varieties
Published 21-05-2017“…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…”
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Jordan groups, conic bundles and abelian varieties
Published 06-12-2015“…A group $G$ is called Jordan if there is a positive integer $J=J_G$ such that every finite subgroup $\mathcal{B}$ of $G$ contains a commutative subgroup…”
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Nonstability the of AK-Invariant
Published in The Michigan mathematical journal (01-01-2005)Get full text
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Surjectivity of certain word maps on PSL(2,C) and SL(2,C)
Published 13-07-2014“…We show that an element w of a free group F on n generators defines a surjective word map of PSL(2,C)^n onto PSL(2,C) unless w belongs to the second derived…”
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Jordan groups and algebraic surfaces
Published 06-04-2014“…We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups holds for the groups of biregular automorphisms of algebraic…”
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