ENGLISH

Foundations of p-Adic Teichmuller Theory

By Shinichi Mochizuki

Book information

Publisher
American Mathematical Society
Year
1999
ISBN
0821811908, 9780821811900
LCC
QA337 .M63 1999
Language
english
Format
DJVU
Filesize
7 MB (7434590 bytes)
Series
AMS/IP Studies in Advanced Mathematics 11
Pages
540\540
Topic
Education
DPI
400
Scanned
no
Time added
2011-06-04 13:46:07

Description

This book lays the foundation for a theory of uniformization of $p$-adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian and Bers uniformizations of complex hyperbolic curves and their moduli to nonarchimedian places. That is why in this book, the theory is referred to as $p$-adic Teichmüller theory, for short. On the other hand, the theory may be regarded as a fairly precise hyperbolic analog of the Serre-Tate theory of ordinary abelian varieties and their moduli. The theory of uniformization of $p$-adic hyperbolic curves and their moduli was initiated in a previous work by Mochizuki. And in some sense, this book is a continuation and generalization of that work. This book aims to bridge the gap between the approach presented and the classical uniformization of a hyperbolic Riemann surface that is studied in undergraduate complex analysis.

Similar books