Kummer theory

Results: 30



#Item
21Algebraic geometry / Differential geometry / String theory / Complex manifolds / Group theory / Calabi–Yau manifold / Orbifold / Blowing up / Elliptic curve / Abstract algebra / Geometry / Topology

Quotients of E n by an+1 and Calabi-Yau manifolds Kapil Paranjape and Dinakar Ramakrishnan Abstract. We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotie

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Source URL: www.math.caltech.edu

Language: English - Date: 2005-07-19 11:45:58
22Algebraic geometry / Differential geometry / String theory / Complex manifolds / Group theory / Calabi–Yau manifold / Orbifold / Blowing up / Elliptic curve / Abstract algebra / Geometry / Topology

Quotients of E n by an+1 and Calabi-Yau manifolds Kapil Paranjape and Dinakar Ramakrishnan Abstract. We give a simple construction, for n ≥ 2, of an ndimensional Calabi-Yau variety of Kummer type by studying the quotie

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Source URL: www.math.caltech.edu

Language: English - Date: 2005-07-19 11:45:58
23Reciprocity law / Quadratic Gauss sum / Gauss sum / Symbol / Kummer sum / Abstract algebra / Cyclotomic fields / Algebraic number theory

(July 28, [removed]Kummer, Eisenstein, computing Gauss sums as Lagrange resolvents Paul Garrett 1.

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Source URL: www.math.umn.edu

Language: English - Date: 2010-07-28 15:48:18
24Algebraic number theory / Analytic number theory / Elliptic curve / Group theory / Kummer surface / Algebraic number field / P-adic number / Prime number / Abstract algebra / Mathematics / Field theory

CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
25Abelian varieties / Algebraic curves / Elliptic curves / Diophantine geometry / Analytic number theory / Mordell–Weil theorem / Kummer surface / Dual abelian variety / Isogeny / Abstract algebra / Algebraic geometry / Geometry

Solving Diophantine Problems on Curves via Descent on the Jacobian E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The theory of Jacobians of curves has largely been developed in a vacuum, wit

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
26Algebraic number theory / Algebraic number field / Ideal class group / Root of unity / Frobenius endomorphism / Cyclotomic field / Dirichlet L-function / Bernoulli number / Prime number / Abstract algebra / Mathematics / Algebra

A Study of Kummer’s Proof of Fermat’s Last Theorem for Regular Primes MANJIL P. SAIKIA1 MATS137 Summer Project under Prof. Kapil Hari Paranjape. Abstract. We study Kummer’s approach towards proving the Fermat’s l

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Source URL: www.manjilsaikia.in

Language: English - Date: 2013-04-01 06:22:17
27Galois theory / Algebraic number theory / Group theory / Separable extension / Galois group / Field extension / Algebraic number field / Primality certificate / Kummer theory / Abstract algebra / Algebra / Field theory

Irreducible radical extensions and Euler-function chains Florian Luca Carl Pomerance

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2006-06-21 13:30:56
28Algebraic number theory / Manjul Bhargava / Class field theory / Kummer theory / Ideal class group / Galois group / Algebraic number field / Cubic field / Field extension / Abstract algebra / Algebra / Field theory

ARIZONA WINTER SCHOOL 2014 COURSE OUTLINE AND PROJECT DESCRIPTION: ASYMPTOTICS FOR NUMBER FIELDS AND CLASS GROUPS MELANIE MATCHETT WOOD ASSISTED BY: ROB HARRON

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Source URL: swc.math.arizona.edu

Language: English - Date: 2013-12-13 03:01:36
29Algebraic topology / Group theory / Algebraic geometry / Valuation / Algebraic number field / Sheaf / Elliptic curve / Approximately finite dimensional C*-algebra / Abstract algebra / Algebra / Field theory

KUMMER THEORY OF ABELIAN VARIETIES AND REDUCTIONS OF MORDELL-WEIL GROUPS TOM WESTON

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Source URL: www.math.umass.edu

Language: English - Date: 2003-09-04 15:47:07
30Polar coordinate system / Exponential family / Étale morphism / Group / Kummer theory / Abstract algebra / Mathematics / Algebra

PDF Document

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Source URL: www.kurims.kyoto-u.ac.jp

Language: English - Date: 2013-09-20 11:05:46
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