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Elliptic geometry
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71	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
72	301 Documenta Math. Λ-Adic Euler Characteristics of Elliptic Curves To John Coates on the occasion of his sixtieth birthday Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-21 15:14:22 Field theory Group theory Algebraic geometry Number theory Analytic number theory Elliptic curve Valuation Algebraic number field Iwasawa algebra Complex multiplication Weight
73	MATHEMATICSof computation VOLUME 41. NUMBER 163 JULY 1983, PAGESClass Groups of Complex Quadratic Fields By R. J. Schoof Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2013-10-18 10:58:33 Algebraic number theory Quadratic forms Field theory Linear algebra Real algebraic geometry Quadratic field Discriminant Algebraic number field Factorization Field extension Elliptic curve
74	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
75	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
76	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:18 Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion Hecke operator TateShafarevich group Modular form
77	HODGE–ARAKELOV THEORY OF ELLIPTIC CURVES (NOTES ON WORKS OF SHINICHI MOCHIZUKI) ROBERT A. KUCHARCZYK Hodge–Arakelov theory is developed in a series of articles by Shinichi Mochizuki from around the year 2000, includi Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2015-12-07 11:55:24 Algebraic geometry Homological algebra Hodge theory HodgeArakelov theory Number theory Elliptic curves Period mapping Arakelov theory Analytic torsion Group scheme Torsion Sheaf
78	595 Documenta Math. Twists of Drinfeld–Stuhler Modular Varieties Michael Spieß Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-06-22 05:49:12 Algebraic geometry Complex manifolds Vector bundles Scheme theory Sheaf theory Projective variety Elliptic curve Coherent sheaf Divisor Mutation Supersingular elliptic curve Sheaf
79	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
80	A THEORY OF ORDINARY P-ADIC CURVES A Theory of Ordinary p-adic Curves By Shinichi MOCHIZUKI* Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-02 13:42:42 Algebraic geometry Complex analysis Riemann surfaces Vector bundles Algebraic varieties Canonical bundle Beltrami equation Indigenous bundle Ample line bundle Supersingular elliptic curve Differential geometry of surfaces Chern class