Description

Book Synopsis
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.

Table of Contents
  • Introduction
  • Crys-stable bundles
  • Torally Crys-stable bundles in positive characteristic
  • VF-patterns
  • Construction of examples
  • Combinatorialization at infinity of the stack of nilcurves
  • The stack of quasi-analytic self-isogenies
  • The generalized ordinary theory
  • The geometrization of binary-ordinary Frobenius liftings
  • The geometrization of spiked Frobenius liftings
  • Representations of the fundamental group of the curve
  • Ordinary stable bundles on a curve
  • Bibliography
  • Index

Foundations of padic Teichm252ller Theory

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    A Paperback by Shinichi Mochizuki

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      View other formats and editions of Foundations of padic Teichm252ller Theory by Shinichi Mochizuki

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 12/30/2015 12:00:00 AM
      ISBN13: 9781470412265, 978-1470412265
      ISBN10: 1470412268

      Description

      Book Synopsis
      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.

      Table of Contents
      • Introduction
      • Crys-stable bundles
      • Torally Crys-stable bundles in positive characteristic
      • VF-patterns
      • Construction of examples
      • Combinatorialization at infinity of the stack of nilcurves
      • The stack of quasi-analytic self-isogenies
      • The generalized ordinary theory
      • The geometrization of binary-ordinary Frobenius liftings
      • The geometrization of spiked Frobenius liftings
      • Representations of the fundamental group of the curve
      • Ordinary stable bundles on a curve
      • Bibliography
      • Index

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