Zarhin, Yuri 1951
Overview
Works:  23 works in 85 publications in 3 languages and 991 library holdings 

Genres:  Academic theses 
Roles:  Editor, Author, Thesis advisor, Other 
Publication Timeline
.
Most widely held works by
Yuri Zarhin
Algebra, arithmetic, and geometry : in honor of Yu. I. Manin by
Yuri Tschinkel(
)
43 editions published between 2008 and 2009 in English and held by 642 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
43 editions published between 2008 and 2009 in English and held by 642 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday(
Book
)
12 editions published between 2002 and 2012 in English and held by 263 WorldCat member libraries worldwide
12 editions published between 2002 and 2012 in English and held by 263 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry : Volume II: In Honor of Yu. I. Manin by
Yuri Tschinkel(
)
2 editions published in 2009 in English and held by 27 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin's outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink
2 editions published in 2009 in English and held by 27 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin's outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink
Algebra, Arithmetic, and Geometry by
Yuri Tschinkel(
)
2 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide
The two volumes of ""Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin"" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kontsevich
2 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide
The two volumes of ""Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin"" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kontsevich
Matematika i modelirovanie : sbornik nauchnykh trudov(
Book
)
4 editions published in 1990 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
4 editions published in 1990 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
Algebra, arithmetic, and geometry by
Yuri Tschinkel(
)
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
The Tate conjecture for nonsimple Abelian varieties over finite fields by
Yu. G Zarhin(
Book
)
3 editions published in 1993 in English and German and held by 4 WorldCat member libraries worldwide
3 editions published in 1993 in English and German and held by 4 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry : Contents, Volume I(
)
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
Abelian varieties of K3 type by
Yuri G Zarhin(
Book
)
2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
Twodimensional families of hyperelliptic Jacobians with big monodromy by
Yuri G Zarhin(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
The Tate conjecture for powers of ordinary K3 surfaces over finite fields by
Yuri G Zarhin(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Connectedness results for ladic representations associated to Abelian varieties by A Silverberg(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Abelian varieties over fields of finite characteristic by
Yuri G Zarhin(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Eigenvalues of Frobenius endomorphism of abelian varieties by
Yuri G Zarhin(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Hodževy cikly i motivy : sbornik statej(
Book
)
1 edition published in 1985 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1985 in Russian and held by 1 WorldCat member library worldwide
Abelian varieties over fields of finite characteristic by
Ûrij Gennad'evič Zarhin(
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Endomorphism algebras and hodge groups of certain superelliptic jacobians by Jiangwei Xue(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Hyperelliptic Jacobians and their associated $\ell$adic Galois representations by Jeffrey Yelton(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Let $k$ be a field of characteristic different from $2$, and let $K$ be the extension of $k$ obtained by adjoining the symmetric functions of the independent transcendental elements $\alpha_{1}, \alpha_{2} ..., \alpha_{d}$ for some $d \geq 3$. For each prime $\ell$, we examine the natural $\ell$adic representation of the absolute Galois group of $K$ associated to the ``generic" Jacobian $J$ of the hyperelliptic curve over $K$ whose Weierstrass roots are the $\alpha_{i}$'s. In particular, we show that the image of the absolute Galois group in the group of automorphisms of the $\ell$adic Tate module $T_{\ell}(J)$ contains the entire symplectic group $\Sp(T_{\ell}(J))$ when $\ell \neq 2$, and that it contains the level$2$ congruence subgroup $\Gamma(2) \lhd \Sp(T_{2}(J))$ when $\ell = 2$. We also derive formulas for generators for the field extension $K(J[4]) / K$, as well as formulas for generators of $K(J[8]) / K$ in the case that $J$ is an elliptic curve. We then give a full desription of the infinite algebraic extension of $K$ generated by the coordinates of all $2$power torsion points of $J$ when $d$ is $3$, $5$, or $6$, by giving recursive formulas for the generators. This is done in all of the above cases by associating to $J$ a regular tree and assigning elements of the algebraic closure of $K$ to the vertices of the tree. We also use these constructions to describe several other algebraic extensions of $K$ related to the subgroup of dyadic torsion of $J$
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Let $k$ be a field of characteristic different from $2$, and let $K$ be the extension of $k$ obtained by adjoining the symmetric functions of the independent transcendental elements $\alpha_{1}, \alpha_{2} ..., \alpha_{d}$ for some $d \geq 3$. For each prime $\ell$, we examine the natural $\ell$adic representation of the absolute Galois group of $K$ associated to the ``generic" Jacobian $J$ of the hyperelliptic curve over $K$ whose Weierstrass roots are the $\alpha_{i}$'s. In particular, we show that the image of the absolute Galois group in the group of automorphisms of the $\ell$adic Tate module $T_{\ell}(J)$ contains the entire symplectic group $\Sp(T_{\ell}(J))$ when $\ell \neq 2$, and that it contains the level$2$ congruence subgroup $\Gamma(2) \lhd \Sp(T_{2}(J))$ when $\ell = 2$. We also derive formulas for generators for the field extension $K(J[4]) / K$, as well as formulas for generators of $K(J[8]) / K$ in the case that $J$ is an elliptic curve. We then give a full desription of the infinite algebraic extension of $K$ generated by the coordinates of all $2$power torsion points of $J$ when $d$ is $3$, $5$, or $6$, by giving recursive formulas for the generators. This is done in all of the above cases by associating to $J$ a regular tree and assigning elements of the algebraic closure of $K$ to the vertices of the tree. We also use these constructions to describe several other algebraic extensions of $K$ related to the subgroup of dyadic torsion of $J$
Ordinary reduction of K3 surfaces by
Fedor Bogomolov(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Oblastʹ množestvennosti stacionarnych sostojanij v reakcii okislenija SO na platine by
Ju. G Zarchin(
Book
)
1 edition published in 1986 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1986 in Undetermined and held by 1 WorldCat member library worldwide
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Related Identities
 Tschinkel, Yuri Author Editor
 Manin, I︠U︡. I. Honoree Dedicatee
 Vostokov, S. V. Other Editor
 Parshin, A. N. Other Dedicatee
 SpringerLink (Online service)
 Bazykin, A. D.
 Akademii︠a︡ nauk SSSR Nauchnoissledovatelʹskiĭ vychislitelʹnyĭ t︠s︡entr (Pushchino, Moscow, Russia)
 Silverberg, A. Author
 Šokurov, Vâčeslav Vladimirovič (1950 ).
 Jablonskij, G. S.
Useful Links
Associated Subjects
Covers
Alternative Names
Sarchin, Juri 1951
Sarchin, Juri Gennadjewitsch 1951
Yuri Zarhin matemático ruso
Yuri Zarhin matemáticu rusu
Yuri Zarhin Russian mathematician
Yuri Zarhin Russisch wiskundige
Yuri Zarhin russischer Mathematiker
Zarchin, Ju. G.
Zarchin, Ju.G. 1951
Zarhin, Ju.G. 1951
Zarhin, Û. G.
Zarhin, Yuri
Zarhin, Yuri G.
Zarhin, Yuri G. 1951
Languages