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Algebraic number theory
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#	Item
221	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
222	555 Documenta Math. On Zeta Elements for Gm David Burns, Masato Kurihara, and Takamichi Sano Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2016-06-17 05:03:17 Algebraic geometry Conjectures Main conjecture of Iwasawa theory Motive Algebraic number theory Tate conjecture Brauer group
223	873 Documenta Math. On Reductions of Families of Crystalline Galois Representations Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-12-10 12:03:12 Algebraic number theory Galois theory Galois module Restricted representation Representation theory Frobenius endomorphism
224	ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION Shinichi Mochizuki February 2009 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-02 13:48:32 Algebraic geometry Algebraic varieties Group theory Divisor Projective variety Elliptic curve Blowing up Ring Prime number theorem Ample line bundle
225	UNBOUNDEDNESS OF THE NUMBER OF RATIONAL POINTS ON CURVES OVER FUNCTION FIELDS ˜ ´ FELIPE VOLOCH RICARDO CONCEIC ¸ AO, Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2012-04-09 21:07:26 Algebraic curves Analytic number theory Elliptic curve Group theory Curve Rational point ArtinSchreier curve
226	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
227	69 Documenta Math. On the Γ-Factors of Motives II Christopher Deninger1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-12-05 06:18:18 Homological algebra Sheaf theory Algebraic topology Vector bundles Sheaf Hodge structure Coherent sheaf Algebraic number field Cohomology StiefelWhitney class Sheaf cohomology
228	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
229	615 Documenta Math. Kida’s Formula and Congruences To John Coates, for his 60th birthday Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-11-21 15:14:31 Algebraic number theory Galois theory Class field theory Field theory Cyclotomic fields Algebraic number field Main conjecture of Iwasawa theory Selmer group Iwasawa theory Galois module Splitting of prime ideals in Galois extensions Local class field theory
230	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

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