Contents

Aleksey Nikolaevich Parshin. Preface by I.

R.

Shafarevich vii

Ramification theory for higher dimensional local fields

VICTOR ABRASHKIN

1

U nramified correspondences

FEDOR BOGOMOLOV AND YURI TSCHINKEL

17

Local Leopoldt's problem for ideals in totally ramified p-extensions of

complete discrete valuation fields

M. V. BONDARKO

27

Quotients of algebraic varieties by Zariski dense equivalence relations

ALEXANDRU BUIUM

59

A note on arithmetic topology and dynamical systems

CHRISTOPHER DENINGER

99

A relation between two moduli spaces studied by V. G. Drinfeld

GERD FALTINGS

115

An invariant for varieties in positive characteristic

G. VANDER GEER AND T. KATSURA

131

Honda groups and explicit pairings on the modules of Cartier curves

FALKO LORENZ AND SERGEI VOSTOKOV

143

Algebraic oriented cohomology theories

ALEXANDER MERKURJEV

171

Hyperelliptic jacobians without complex multiplication, doubly transitive

permutation groups and projective representations

YURI G. ZARHIN

195

Ramification of surfaces: Artin-Schreier extensions

IGOR ZHUKOV

211

v