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

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 |

### Other editions - View all

Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A.N ... S. V. Vostokov,Yuri Zarhin No preview available - 2002 |

### Common terms and phrases

6–geometry a-number Abelian schemes abelian varieties algebraic closure assume automorphism base locus Buium canonical characteristic zero complete conjecture consider construct COROLLARY corresponding defined definition denote dimension discrete valuation Drinfeld dynamical systems element elliptic curves embedding endomorphism equal equivalence étale Example exists F-structure finite extension finite field follows formula Frobenius functor g-unbounded Gal(f Gal(K Galois group Galois module geometry GL(h global p-ring Hence homomorphism Honda group Iitaka 6-dimension implies induced invariant isogeny isomorphism LA/s Lemma Leopoldt line bundle Math Mathematics Mathieu groups monomials morphism multiplication n-dimensional local field nontrivial number field obtain p-adic p-ring pairing parameters Parshin points polynomial projective space projective variety PROOF PROPOSITION prove quotient R-module ramification filtration REMARK residue field ring of integers semistable extensions Sm(F smooth structure subfield subgroup Suppose surjective Theorem topology trivial unramified unramified extension vanishing cycles vector bundle Zariski Zariski dense