Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A.N. Parshin on the Occasion of His Sixtieth Birthday

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American Mathematical Soc., 2002 - Mathematics - 220 pages
A. N. Parshin is a world-renowned 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. Well-known 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.
 

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Contents

Ramification theory for higher dimensional local fields
1
Unramified correspondences
17
Local Leopoldts problem for ideals in totally ramified pextensions of complete discrete valuation fields
27
Quotients of algebraic varieties by Zariski dense equivalence relations
59
A note on arithmetic topology and dynamical systems
99
A relation between two moduli spaces studied by V G Drinfeld
115
An invariant for varieties in positive characteristic
131
Honda groups and explicit pairings on the modules of Cartier curves
143
Algebraic oriented cohomology theories
171
Hyperelliptic jacobians without complex multiplication doubly transitive permutation groups and projective representations
195
ArtinSchreier extensions
211
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