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G-Functions and Geometry
Yves André
其他書名
A Publication of the Max-Planck-Institut für Mathematik, Bonn
出版
Vieweg+Teubner Verlag
, 1989-01-01
主題
Mathematics / Geometry / Algebraic
Mathematics / Geometry / General
Mathematics / General
Mathematics / Algebra / General
ISBN
3528063173
9783528063177
URL
http://books.google.com.hk/books?id=rQLvAAAAMAAJ&hl=&source=gbs_api
註釋
This is an introduction to some geometrie aspects of G-function theory. Most of the results presented here appear in print for the flrst time; hence this text is something intermediate between a standard monograph and a research artic1e; it is not a complete survey of the topic. Except for geometrie chapters (I.3.3, II, IX, X), I have tried to keep it reasonably self contained; for instance, the second part may be used as an introduction to p-adic analysis, starting from a few basic facts wh ich are recalled in IV.l.l. I have inc1uded about forty exercises, most of them giving some complements to the main text. Acknowledgements This book was written during a stay at the Max-Planck-Institut in Bonn. I should like here to express my special gratitude to this institute and its director, F. Hirzebruch, for their generous hospitality. G. Wüstholz has suggested the whole project and made its realization possible, and this book would not exist without his help; I thank him heartily. I also thank D. Bertrand, E. Bombieri, K. Diederich, and S. Lang for their encouragements, and D. Bertrand, G. Christo I and H Esnault for stimulating conversations and their help in removing some inaccuracies after a careful reading of parts of the text (any remaining error is however my sole responsibility).