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G-functions and Geometry (Paperback, 1989 Ed.)
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G-functions and Geometry (Paperback, 1989 Ed.)
Series: Aspects of Mathematics S., 13
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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.
Wustholz 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)."
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