By Yves André
This can be 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 that reason this article is anything intermediate among a customary monograph and a examine artic1e; it isn't an entire survey of the subject. aside 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 routines, 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 particular gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has advised the entire venture and made its awareness 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 interpreting of components of the textual content (any last errors is even if my sole responsibility).