By Yves André
This is often an creation to a few geometrie points of G-function idea. many of the effects provided the following seem in print for the flrst time; for this reason this article is anything intermediate among a customary monograph and a learn artic1e; it's not an entire 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 number of easy 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 booklet was once written in the course of a remain on the Max-Planck-Institut in Bonn. I should 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 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 interpreting of components of the textual content (any last errors is even though my sole responsibility).
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