Foundations of P-adic Teichmüller Theory

Häftad, Engelska, 2015

Del i serien AMS/IP Studies in Advanced Mathematics

981 kr

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Beskrivning

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.Features:Presents a systematic treatment of the moduli space of curves from the point of view of p-adic Galois representations.Treats the analog of Serre-Tate theory for hyperbolic curves.Develops a p-adic analog of Fuchsian and Bers uniformization theories.Gives a systematic treatment of a ""nonabelian example"" of p-adic Hodge theory.Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Produktinformation

Utgivningsdatum:2015-12-30
Mått:152 x 229 x undefined mm
Vikt:962 g
Format:Häftad
Språk:Engelska
Serie:AMS/IP Studies in Advanced Mathematics
Antal sidor:529
Förlag:American Mathematical Society
ISBN:9781470412265

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Shinichi Mochizuki, Research Institute for the Mathematical Sciences, Kyoto, Japan.

Innehållsförteckning

IntroductionCrys-stable bundlesTorally Crys-stable bundles in positive characteristicVF-patternsConstruction of examplesCombinatorialization at infinity of the stack of nilcurvesThe stack of quasi-analytic self-isogeniesThe generalized ordinary theoryThe geometrization of binary-ordinary Frobenius liftingsThe geometrization of spiked Frobenius liftingsRepresentations of the fundamental group of the curveOrdinary stable bundles on a curveBibliographyIndex

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Foundations of P-adic Teichmüller Theory

AvShinichi Mochizuki

Häftad, Engelska, 2015

Del i serien AMS/IP Studies in Advanced Mathematics

981 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2015-12-30
Mått:152 x 229 x undefined mm
Vikt:962 g
Format:Häftad
Språk:Engelska
Serie:AMS/IP Studies in Advanced Mathematics
Antal sidor:529
Förlag:American Mathematical Society
ISBN:9781470412265

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Shinichi Mochizuki, Research Institute for the Mathematical Sciences, Kyoto, Japan.

Innehållsförteckning

IntroductionCrys-stable bundlesTorally Crys-stable bundles in positive characteristicVF-patternsConstruction of examplesCombinatorialization at infinity of the stack of nilcurvesThe stack of quasi-analytic self-isogeniesThe generalized ordinary theoryThe geometrization of binary-ordinary Frobenius liftingsThe geometrization of spiked Frobenius liftingsRepresentations of the fundamental group of the curveOrdinary stable bundles on a curveBibliographyIndex