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Arithmetic Geometry
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Librairie Eyrolles - Paris 5e
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Arithmetic Geometry

Arithmetic Geometry

Gary Cornell, Joseph H. Silverman

384 pages, parution le 01/01/1996

Résumé

This book is the result of a conference on arithmetic geometry, held July 30 through August 10, 1984 at the University of Connecticut at Storrs, the purpose of which was to provide a coherent overview of the subject. This subject has enjoyed a resurgence in popularity due in part to Faltings' proof of Mordell's conjecture. Included are extended versions of almost all of the instructional lectures and, in addition, a translation into English of Faltings' ground-breaking paper. ARITHMETIC GEOMETRY should be of great use to students wishing to enter this field, as well as those already working in it. This revised second printing now includes a comprehensive index.

Contents

1: Some Historical Notes
2: Finiteness Theorems for Abelian Varieties over Number Fields
3: Group Schemes, Formal Groups, and p-Divisible Groups
4: Abelian Varieties over C
5: Abelian Varieties
6: The Theory of Height Functions
7: Jocobian Varieties
8: Neron Models
9: Siegel Moduli Schemes and Their Compactifications over C
10: Heights and Elliptic Curves
11: Lipman's Proof of Resolution of Singularities for Surfaces
12: An Introduction to Arakelov Intersection Theory
13: Minimal Models for Curves over Dedekind Rings
14: Local Heights on Curves
15: A Higher Dimensional Mordell Conjecture

L'auteur - Gary Cornell

Gary Cornell

has a Ph.D. from Brown University and has been a visiting scientist at IBM Watson labs. He has written or co-written over 20 popular computer books and articles for many developer magazines. He currently directs the program for Modern Visual Programming at the University of Connecticut.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Gary Cornell, Joseph H. Silverman
Parution 01/01/1996
Nb. de pages 384
Format 16 x 24
Couverture Relié
Poids 714g
Intérieur Noir et Blanc
EAN13 9780387963112

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