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Class field theory
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41	GLOBAL SOLVABLY CLOSED ANABELIAN GEOMETRY Shinichi Mochizuki July 2006 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 02:03:34 Galois theory Algebraic number theory Class field theory Galois group Splitting of prime ideals in Galois extensions Galois extension tale fundamental group Galois cohomology Norm residue isomorphism theorem Abelian extension Field extension Fundamental theorem of Galois theory
42	73 Documenta Math. On the Equivariant Tamagawa Number Conjecture Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-05-06 08:16:28 Class field theory Field theory Cyclotomic fields Algebraic number theory Algebraic geometry Conductor Iwasawa theory Algebraic number field Complex multiplication Motive Dirichlet L-function Artin reciprocity law
43	THE DISTRIBUTION OF CLOSED GEODESICS ON THE MODULAR SURFACE, AND DUKE’S THEOREM MANFRED EINSIEDLER, ELON LINDENSTRAUSS, PHILIPPE MICHEL, AND AKSHAY VENKATESH Abstract. We give an ergodic theoretic proof of a theorem o Add to Reading List Source URL: www.ma.huji.ac.il Language: English - Date: 2011-09-02 01:08:56 Algebraic number theory Quadratic forms Field theory Discriminant Algebraic number field Quadratic field Ideal class group Binary quadratic form Differential geometry of surfaces Fundamental discriminant
44	Pseudo-null submodules of the unramified Iwasawa module for Z2p -extensions Satoshi Fujii (Keio Univ.) 1. Introduction Let k/Q be a ﬁxed ﬁnite abelian extension and p a ﬁxed prime number. Add to Reading List Source URL: staff.miyakyo-u.ac.jp Language: English - Date: 2008-11-03 17:53:06 Field theory Class field theory Algebraic number theory Iwasawa theory Kummer theory Commutative algebra
45	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
46	91 Documenta Math. Tame Class Field Theory for Singular Varieties over Algebraically Closed Fields Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2016-01-23 06:56:25 Algebraic geometry Cohomology theories Homological algebra Principal homogeneous space Cohomology Valuation Sheaf cohomology tale cohomology Torsor tale fundamental group Motivic cohomology Incomplete gamma function
47	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
48	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
49	Microsoft PowerPoint - class-5-out.ppt [Compatibility Mode] Add to Reading List Source URL: people.cs.pitt.edu Language: English - Date: 2014-09-09 17:58:53 Graphical models Probability theory Belief propagation Coding theory Markov random field Factor graph Variable elimination Tree decomposition Logarithm Centrality
50	443 Documenta Math. Completely Faithful Selmer Groups over Kummer Extensions Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2003-12-22 16:28:38 Field theory Number theory Cyclotomic fields Class field theory Algebraic number theory Iwasawa algebra Iwasawa theory Selmer group Torsion Algebraic number field Complex multiplication Elliptic curve