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Abelian
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551	Chapter 5 Linear Algebra The exalted position held by linear algebra is based upon the subject’s ubiquitous utility and ease of application. The basic theory is developed here in full generality, i.e., modules are defi Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:56 Algebraic structures Ring theory Homological algebra Morphisms Module Endomorphism ring Homomorphism Group homomorphism Abelian group Abstract algebra Algebra Module theory
552	(March 23, [removed]Harmonic analysis on compact abelian groups Paul Garrett [removed] http://www.math.umn.edu/egarrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2013-03-23 16:07:25 Operator theory Fourier analysis Functional analysis Representation theory of Lie groups Quantum mechanics Convolution Topological group Self-adjoint operator Hilbert space Mathematical analysis Abstract algebra Algebra
553	Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics Add to Reading List Source URL: www.wstein.org Language: English Algebraic curves Differential geometry Abelian varieties Analytic number theory Elliptic curve Group theory Curve Projective space Torsion tensor Geometry Abstract algebra Algebraic geometry
554	GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:48:34 Elliptic curves Algebraic topology Field theory Abelian variety Group scheme Formal group Rational point Supersingular elliptic curve Frobenius endomorphism Abstract algebra Algebraic number theory Algebraic groups
555	THESIS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY On the Picard Group of Integer Group Rings OLA HELENIUS Add to Reading List Source URL: www.math.chalmers.se Language: English - Date: 2009-05-13 01:43:49 Homological algebra Algebraic geometry Module theory Commutative algebra Algebraic K-theory Projective module Picard group Abelian group Dedekind domain Abstract algebra Algebra Ring theory
556	Families of K3 surfaces. J. Algebraic Geom[removed]), no. 1, 183–193. Richard E. Borcherds † Mathematics department, Evans Hall, 3840, UC Berkeley, CA[removed]D.P.M.M.S., 16 Mill Lane, Cambridge CB2 1SB, UK email: Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:07:59 Algebraic surfaces K3 surface Enriques–Kodaira classification Enriques surface Kodaira dimension Moduli space Abelian variety Divisor Unimodular lattice Algebraic geometry Geometry Abstract algebra
557	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry
558	HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES BRIAN CONRAD 1. Introduction 1.1. Motivation. Let E be an elliptic curve over a p-adic integer ring R, and assume that E has supersingular reduction. Consider the 2-d Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-08-06 11:01:44 Algebraic number theory Group theory Algebraic groups Abelian variety Group scheme Elliptic curve Torsion subgroup Torsion Semistable abelian variety Abstract algebra Algebra Niels Henrik Abel
559	Chapter 3 Rings Rings are additive abelian groups with a second operation called multiplication. The connection between the two operations is provided by the distributive law. Assuming the results of Chapter 2, this chap Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:54 Algebraic structures Commutative algebra Ring Commutative ring Ideal Polynomial ring Quotient ring Principal ideal Integral domain Abstract algebra Algebra Ring theory
560	Chapter 2 Groups Groups are the central objects of algebra. In later chapters we will define rings and modules and see that they are special cases of groups. Also ring homomorphisms and module homomorphisms are special c Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:53 Normal subgroup Quotient group Coset Index of a subgroup Group homomorphism Subgroup Group Abelian group Cyclic group Abstract algebra Algebra Group theory

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