By Yves André
This can be an creation to a few geometrie features of G-function thought. lots of the effects offered the following look in print for the flrst time; consequently this article is whatever intermediate among a customary monograph and a study artic1e; it isn't a whole survey of the subject. with the exception of 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 creation to p-adic research, ranging from a number of uncomplicated 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 publication was once written in the course of a remain on the Max-Planck-Institut in Bonn. I should still like right here to precise my exact gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has steered the total venture and made its attention attainable, and this e-book wouldn't exist with no 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 analyzing of components of the textual content (any final mistakes is in spite of the fact that my sole responsibility).