By Yves André
This is often an creation to a few geometrie features of G-function concept. lots of the effects awarded the following look in print for the flrst time; for this reason this article is whatever intermediate among a typical monograph and a learn artic1e; it isn't a whole survey of the subject. apart from geometrie chapters (I.3.3, II, IX, X), i've got attempted to maintain it quite self contained; for example, the second one half can be utilized as an advent to p-adic research, ranging from a number of simple evidence wh ich are recalled in IV.l.l. i've got inc1uded approximately 40 workouts, so much of them giving a few enhances to the most textual content. Acknowledgements This booklet used to be written in the course of a remain on the Max-Planck-Institut in Bonn. I should still like right here to specific my precise gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has recommended the total venture and made its recognition attainable, and this booklet wouldn't exist with out his aid; I thank him heartily. I additionally thank D. Bertrand, E. Bombieri, ok. Diederich, and S. Lang for his or her encouragements, and D. Bertrand, G. Christo I and H Esnault for exciting conversations and their assist in removal a few inaccuracies after a cautious examining of components of the textual content (any ultimate errors is even though my sole responsibility).
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