By Yves André
This is often an creation to a few geometrie elements of G-function thought. lots of the effects provided right here seem 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 used as an advent 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, such a lot of them giving a few enhances to the most textual content. Acknowledgements This publication was once written in the course of a remain on the Max-Planck-Institut in Bonn. I may still like the following to specific my certain gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has advised the complete undertaking and made its cognizance attainable, and this e-book 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 interpreting of components of the textual content (any ultimate blunders is even though my sole responsibility).
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