By Yves André
This is often an advent to a couple geometrie features of G-function thought. lots of the effects offered the following seem in print for the flrst time; for this reason this article is whatever intermediate among a regular monograph and a learn artic1e; it isn't 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 advent 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 precise my precise gratitude to this institute and its director, F. Hirzebruch, for his or her beneficiant hospitality. G. Wüstholz has recommended the total venture and made its awareness attainable, and this e-book wouldn't exist with out his support; 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 elimination a few inaccuracies after a cautious analyzing of elements of the textual content (any final mistakes is in spite of the fact that my sole responsibility).
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