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P-adic Hodge theory
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11	Lecture Notes on: The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki I. General Introduction Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:20 Algebraic number theory Galois theory Algebraic geometry Hodge theory Homological algebra Tate conjecture Galois module tale cohomology P-adic Hodge theory Tate module Abelian variety Algebraic curve
12	The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki §1. Introduction (A.) The Fuchsian Uniformization A hyperbolic curve is an algebraic curve obtained by removing r points from a smooth, proper Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:25:30 Algebraic geometry Number theory P-adic Teichmller theory P-adic number Riemann surface P-adic Hodge theory Nilcurve Differential geometry of surfaces Tate conjecture Algebraic curve Elliptic curve tale cohomology
13	525 Documenta Math. A p-adic Regulator Map and Finiteness Results for Arithmetic Schemes Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-06-21 15:52:39 Algebraic number theory Algebraic geometry Cohomology theories Homological algebra Conjectures Motivic cohomology tale cohomology Brauer group Tate conjecture Chow group Motive P-adic Hodge theory
14	525 Documenta Math. A p-adic Regulator Map and Finiteness Results for Arithmetic Schemes Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-06-21 15:52:39 Algebraic number theory Algebraic geometry Cohomology theories Homological algebra Conjectures Motivic cohomology tale cohomology Brauer group Tate conjecture Chow group Motive P-adic Hodge theory
15	RAMIFICATION OF CRYSTALLINE REPRESENTATIONS SHIN HATTORI Abstract. This is a survey on integral p-adic Hodge theory, especially on the Fontaine-Laﬀaille theory, and a ramiﬁcation bound for crystalline representations Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2014-09-17 00:51:56 Homological algebra Algebraic number theory Algebraic geometry Commutative algebra Galois theory P-adic Hodge theory Crystalline cohomology Galois module Valuation P-adic number Torsion Tate module
16	TOPICS IN ABSOLUTE ANABELIAN GEOMETRY III: GLOBAL RECONSTRUCTION ALGORITHMS Shinichi Mochizuki November 2015 Abstract. In the present paper, which forms the third part of a three-part series Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-11-02 21:47:42 Algebraic number theory Galois theory Algebraic geometry Number theory Field theory Shinichi Mochizuki Anabelian geometry tale fundamental group P-adic Hodge theory Ring Frobenius endomorphism Group theory
17	THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY Shinichi Mochizuki June 2008 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:19:46 Algebraic structures Galois theory Algebraic number theory Algebraic geometry Symmetry Frobenioid Monoid Frobenius endomorphism Homomorphism Ring P-adic Hodge theory Category
18	The Intrinsic Hodge Theory of p-adic Hyperbolic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:02 Algebraic geometry Homological algebra Number theory Algebraic surfaces Analytic number theory Elliptic curve Prime number Abelian variety P-adic number Algebraic curve Motive
19	Integral p-adic Hodge theory – announcement B. Bhatt, M. Morrow, P. Scholze arXiv:1507.08129v1 [math.AG] 29 Jul Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2015-08-02 11:37:46
20	ERRATUM TO “p-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES” PETER SCHOLZE (1) Proposition 3.7 (i) (“Any continuous open surjective map of profinite sets admits a continuous splitting”) is wrong, see [3, Example Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2016-02-09 04:04:13