By Yves André
This can be an advent to a couple geometrie facets of G-function concept. many of the effects awarded the following seem in print for the flrst time; therefore this article is anything 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 used as an creation to p-adic research, ranging from a couple of uncomplicated proof 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 ebook used to be written in the course of a remain on the Max-Planck-Institut in Bonn. I may still like the following to specific my specific gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has advised the total venture and made its recognition attainable, and this publication wouldn't exist with no his aid; I thank him heartily. I additionally thank D. Bertrand, E. Bombieri, okay. 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 closing blunders is in spite of the fact that my sole responsibility).
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