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Book DetailsContemporary MathematicsVolume: 300; 2002; 220 ppMSC: Primary 11; 14;
A. N. Parshin is a worldrenowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Wellknown mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings.
The book is intended for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.ReadershipGraduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.

Table of Contents

Articles

Victor Abrashkin  Ramification theory for higher dimensional local fields [ MR 1936364 ]

Fedor Bogomolov and Yuri Tschinkel  Unramified correspondences [ MR 1936365 ]

M. V. Bondarko  Local Leopoldt’s problem for ideals in totally ramified $p$extensions of complete discrete valuation fields [ MR 1936366 ]

Alexandru Buium  Quotients of algebraic varieties by Zariski dense equivalence relations [ MR 1936367 ]

Christopher Deninger  A note on arithmetic topology and dynamical systems [ MR 1936368 ]

Gerd Faltings  A relation between two moduli spaces studied by V. G. Drinfeld [ MR 1936369 ]

G. van der Geer and T. Katsura  An invariant for varieties in positive characteristic [ MR 1936370 ]

Falko Lorenz and Sergei Vostokov  Honda groups and explicit pairings on the modules of Cartier curves [ MR 1936371 ]

Alexander Merkurjev  Algebraic oriented cohomology theories [ MR 1936372 ]

Yuri G. Zarhin  Hyperelliptic Jacobians without complex multiplication, doubly transitive permutation groups and projective representations [ MR 1936373 ]

Igor Zhukov  Ramification of surfaces: ArtinSchreier extensions [ MR 1936374 ]


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A. N. Parshin is a worldrenowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Wellknown mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings.
The book is intended for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.
Graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.

Articles

Victor Abrashkin  Ramification theory for higher dimensional local fields [ MR 1936364 ]

Fedor Bogomolov and Yuri Tschinkel  Unramified correspondences [ MR 1936365 ]

M. V. Bondarko  Local Leopoldt’s problem for ideals in totally ramified $p$extensions of complete discrete valuation fields [ MR 1936366 ]

Alexandru Buium  Quotients of algebraic varieties by Zariski dense equivalence relations [ MR 1936367 ]

Christopher Deninger  A note on arithmetic topology and dynamical systems [ MR 1936368 ]

Gerd Faltings  A relation between two moduli spaces studied by V. G. Drinfeld [ MR 1936369 ]

G. van der Geer and T. Katsura  An invariant for varieties in positive characteristic [ MR 1936370 ]

Falko Lorenz and Sergei Vostokov  Honda groups and explicit pairings on the modules of Cartier curves [ MR 1936371 ]

Alexander Merkurjev  Algebraic oriented cohomology theories [ MR 1936372 ]

Yuri G. Zarhin  Hyperelliptic Jacobians without complex multiplication, doubly transitive permutation groups and projective representations [ MR 1936373 ]

Igor Zhukov  Ramification of surfaces: ArtinSchreier extensions [ MR 1936374 ]