Search Results - "Zarhin, Yuri G"

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    Simple Complex Tori of Algebraic Dimension 0 by Bandman, Tatiana, Zarhin, Yuri G.

    “…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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    Journal Article Conference Proceeding
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    Complex Tori, Theta Groups and Their Jordan Properties by Zarhin, Yuri G.

    “…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 by BANDMAN, TATIANA, ZARHIN, YURI G.

    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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    Journal Article
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    Two-dimensional families of hyperelliptic Jacobians with big monodromy by Zarhin, Yuri G.

    “…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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    Journal Article
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    Invariant Brauer group of an abelian variety by Orr, Martin, Skorobogatov, Alexei N., Valloni, Domenico, Zarhin, Yuri G.

    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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    Journal Article
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    Bimeromorphic automorphism groups of certain P1-bundles by Bandman, Tatiana, Zarhin, Yuri G.

    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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    Journal Article
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    Torsion points of small order on hyperelliptic curves by Bekker, Boris M., Zarhin, Yuri G.

    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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    Journal Article
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    Root lattices in number fields by Popov, Vladimir L., Zarhin, Yuri G.

    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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    Journal Article
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    Almost isomorphic abelian varieties by Zarhin, Yuri G.

    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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    Journal Article
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    Surjectivity of certain word maps on PSL(2,C) and SL(2,C) by Bandman, Tatiana, Zarhin, Yuri G.

    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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    Journal Article
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    Galois groups of Mori trinomials and hyperelliptic curves with big monodromy by Zarhin, Yuri G.

    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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    Journal Article
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    Hyperelliptic Jacobians and Simple Groups U3(2m) by Zarhin, Yuri G.

    “…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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    Journal Article
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    Corrigendum to “The Brauer group and the Brauer–Manin set of products of varieties” by Skorobogatov, Alexei N., Zarhin, Yuri G.

    “…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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    Journal Article
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    Hyperelliptic jacobians and simple groups \mathbf{U}_3(2^m) by Zarhin, Yuri G.

    “…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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    Journal Article
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    JORDAN GROUPS AND ELLIPTIC RULED SURFACES by ZARHIN, YURI G.

    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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    Journal Article
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    Isogenies of abelian varieties over finite fields by Silverberg, Alice, Zarhin, Yuri G.

    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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    Journal Article