Contemporary Mathematics 2002; 220 pp; softcover Volume: 300 ISBN10: 0821832670 ISBN13: 9780821832677 List Price: US$68 Member Price: US$54.40 Order Code: CONM/300
 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. Readership Graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry. Table of Contents  V. Abrashkin  Ramification theory for higher dimensional local fields
 F. Bogomolov and Y. Tschinkel  Unramified correspondences
 M. V. Bondarko  Local Leopoldt's problem for ideals in totally ramified \(p\)extensions of complete discrete valuation fields
 A. Buium  Quotients of algebraic varieties by Zariski dense equivalence relations
 C. Deninger  A note on arithmetic topology and dynamical systems
 G. Faltings  A relation between two moduli spaces studied by V. G. Drinfeld
 G. van der Geer and T. Katsura  An invariant for varieties in positive characteristic
 F. Lorenz and S. Vostokov  Honda groups and explicit pairings on the modules of Cartier curves
 A. Merkurjev  Algebraic oriented cohomology theories
 Y. G. Zarhin  Hyperelliptic Jacobians without complex multiplication, doubly transitive permutation groups and projective representations
 I. Zhukov  Ramification of surfaces: ArtinSchreier extensions
