Foundations of P-adic Teichmüller Theory
American Mathematical Soc., Jan 1, 1999 - Mathematics - 529 pages
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.
What people are saying - Write a review
Table of Contents
1 Overview of the Contents of the Present Book
2 Open Problems
3 Further Structure
4 Torally Indigenous Bundles
Torally CrysStable Bundles
The Stack of QuasiAnalytic SelfIsogenies
2 Deformation and Degeneration Properties of the Stacks Qg
The Generalized Ordinary Theory
3 Existence Results
2 The Binary Case
3 Application to Curves and their Moduli
The Geometrization of Spiked Frobenius Liftings
J2 Nilpotent Connections of Higher Order
i3 Mildly Spiked Bundles
2 Affineness Properties
Construction of Examples
2 Higher Order Connections and LubinTate Stacks
3 Anabelian Stacks
Combinatorialization at Infinity of the Stack
2 The Main Theorem
ABSOLUTE ANABELIAN CUSPIDALIZATIONS OF PROPER HYPERBOLIC CURVES ...
ABSOLUTE ANABELIAN CUSPIDALIZATIONS. OF PROPER HYPERBOLIC CURVES. Shinichi Mochizuki. February 2005. ×ØÖ Øº. In this paper, we develop the theory of ...
www.kurims.kyoto-u.ac.jp/ preprint/ file/ RIMS1490.pdf
New Publications Offered by the AMS, Volume 46, Number 6
716. N. OTICES OF THE. AMS. V. OLUME. 46, N. UMBER. 6. New Publications. Offered by the AMS. Advance Notice. Recommended Text. An Introduction to the ...
www.ams.org/ notices/ 199906/ newpubs-jun-jul99.pdf
Zentralblatt MATH Database 1931 – 2008 0969.14013
Zentralblatt MATH Database 1931 – 2008. c 2008 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag. 0969.14013. Mochizuki, Shinichi ...
zmath.impa.br/ cgi-bin/ zmen/ ZMATH/ en/ quick.html?first=1&
mywiki.jp - amazon Wiki - 0821811908
Foundations of P-Adic Teichmuller Theory (Ams/Ip Studies in Advanced Mathematics)↑. Foundations of P-Adic Teichmuller Theory (Ams/Ip Studies in Advanced ...
mywiki.jp/ mywiki/ amazon/ 0821811908/