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Algebraic number theory
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#	Item
651	UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS A. MERKURJEV Abstract. We prove that if G is a reductive group over an algebraically closed field F , then for a prime integer p 6= char(F ), the group of unramified Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-24 17:55:06 Group theory Class field theory Galois module Galois theory Group homomorphism Representation theory Étale morphism Essential dimension Gelfand pair Abstract algebra Algebra Algebraic number theory
652	(February 19, [removed]Newton polygons Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-02-19 15:53:15 Algebraic number theory Polynomials Algebraic geometry Valuation Separable extension Newton polygon Field extension Casus irreducibilis Ramification Abstract algebra Algebra Field theory
653	Compatibly split subvarieties of Hilbn (A2k ) Jenna Rajchgot (Supervised by Allen Knutson) Department of Mathematics, Cornell University Southern Ontario Groups and Geometry Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-04-11 15:51:05 Algebraic number theory Scheme theory Frobenius endomorphism Galois theory Hilbert scheme Divisor Access to knowledge movement Abstract algebra Algebra Algebraic geometry
654	Rigid Syntomic Regulators and the p-adic L-function of a modular form DISSERTATION ZUR ERLANGUNG DES DOKTORGRADES DER NATURWISSENSCHAFTEN (DR. RER. NAT.) ¨ FUR Add to Reading List Source URL: epub.uni-regensburg.de Language: English - Date: 2011-07-20 22:07:48 Algebraic number theory Cohomology theories Field theory Algebraic geometry Étale cohomology P-adic number Motive Hodge structure Algebraic number field Abstract algebra Algebra Homological algebra
655	EUCLIDEAN QUADRATIC FORMS AND ADC-FORMS: I PETE L. CLARK We denote by N the non-negative integers (including 0). Throughout R will denote a commutative, unital integral domain and K its fraction ﬁeld. We write R• for Add to Reading List Source URL: math.uga.edu Language: English - Date: 2012-08-06 06:09:32 Ring theory Commutative algebra Algebraic number theory Linear algebra Quadratic forms Euclidean domain Euclidean algorithm Dedekind domain Norm Abstract algebra Algebra Mathematics
656	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic curves Abelian varieties Finite fields Diophantine geometry Analytic number theory Mordell–Weil theorem Elliptic function Victor S. Miller Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
657	The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-02-20 12:09:35 Quadratic forms Algebraic curves Field theory Polynomials Algebraic number theory Hyperelliptic curve Elliptic curve Algebraic number field Discriminant Abstract algebra Algebra Mathematics
658	Efficient Algorithms for Pairing-Based Cryptosystems Paulo S. L. M. Barreto1 , Hae Y. Kim1 , Ben Lynn2 , and Michael Scott3 1 Add to Reading List Source URL: doras.dcu.ie Language: English - Date: 2009-12-03 09:35:00 Finite fields Cryptography Group theory Algebraic number theory Weil pairing XTR Frobenius endomorphism Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
659	Publ. Mat[removed]), 413–448 DOI: [removed]PUBLMAT[removed]A DEGREE PROBLEM FOR TWO ALGEBRAIC NUMBERS AND THEIR SUM ¯ ras Dubickas, and Chris Smyth Add to Reading List Source URL: ddd.uab.cat Language: English - Date: 2012-06-14 14:05:45 Transcendental numbers Numbers Algebraic number theory Tensor product of fields Diophantine approximation Constructible universe Algebraic number field Ordinal arithmetic Gelfond–Schneider theorem Mathematics Field theory Number theory
660	MOSCOW MATHEMATICAL JOURNAL Volume 4, Number 3, July–September 2004, Pages 559–592 FEDOSOV QUANTIZATION IN ALGEBRAIC CONTEXT R. BEZRUKAVNIKOV AND D. KALEDIN To B. L. Feigin on his 50th anniversary Add to Reading List Source URL: www.ams.org Language: English - Date: 2004-11-24 12:27:23 Symplectic geometry Algebraic topology Hamiltonian mechanics Homology theory Vector bundles Symplectic vector space Sheaf Differentiable manifold Principal homogeneous space Abstract algebra Topology Algebra

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