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Weil algebra
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101	TOWERS OF 2-COVERS OF HYPERELLIPTIC CURVES NILS BRUIN AND E. VICTOR FLYNN Abstract. In this article, we give a way of constructing an unramified Galoiscover of a hyperelliptic curve. The geometric Galois-group is an elem Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Diophantine geometry Algebraic surfaces Abelian varieties Analytic number theory Elliptic curve Mordell–Weil theorem Hyperelliptic curve Canonical bundle Algebraic geometry Abstract algebra Geometry
102	Elliptic curves, their companions, and their statistics Barry Mazur What is the probability that a cubic plane curve with rational coefficients has infinitely many rational points? Questions of this type (more exactly fo Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:46 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Arithmetic of abelian varieties Curve Abstract algebra Mathematics Algebraic geometry
103	ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 13:39:15 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Barry Mazur Prime number Abstract algebra Mathematics Number theory
104	Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 12:11:28 Elliptic curves Algebraic curves Analytic number theory Group theory Diophantine geometry Modular curve Canonical bundle Torsion tensor Mordell–Weil theorem Abstract algebra Geometry Mathematics
105	A SHARPER ESTIMATE ON THE BETTI NUMBERS OF SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. In this paper we consider the problem of bounding the Betti numbers, bi (S), of a semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:16 Quadratic forms Algebraic topology Betti number Topological graph theory Algebraic geometry Real algebraic geometry Algebraic variety Weil conjectures Algebra Mathematics Abstract algebra
106	ON THE ASYMPTOTIC EFFECTIVENESS OF WEIL DESCENT ATTACKS KORAY KARABINA, ALFRED MENEZES, CARL POMERANCE, AND IGOR E. SHPARLINSKI Abstract. In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-01-26 20:32:00 Cryptography Group theory Analytic number theory Elliptic curve Number theory Abstract algebra Mathematics Finite fields
107	ARIZONA WINTER SCHOOL 2014 COURSE OUTLINE: GEOMETRIC ANALYTIC NUMBER THEORY JORDAN S. ELLENBERG The main theme of the course will be the interplay between • arithmetic statistics over function fields of curves; and Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Homological algebra Cohomology theories Homology theory Cohomology Algebraic geometry Étale cohomology Alexander Grothendieck Crystalline cohomology Weil cohomology theory Abstract algebra Algebraic topology Algebra
108	Miscellaneous preliminaries on arithmetic geometry One definition of a hyperelliptic curve is a curve C over an algebraically closed field k whose function field K is a degree 2 extension of a purely transcendental exten Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 03:49:03 Homological algebra Finite fields Fixed points Field theory Mathematical series Elliptic curve Weil conjectures Projective space Formal power series Abstract algebra Mathematics Algebra
109	Version of January 7, [removed]:30 SOME EXTENSIONS OF THE SIEGEL-WEIL FORMULA Stephen S. Kudla Add to Reading List Source URL: www.math.toronto.edu Language: English - Date: 2007-09-12 16:05:07 Symbol Abstract algebra Representation theory Induced representation
110	mem-dwork.qxp[removed]:21 AM Page 338 Bernard Dwork (1923–[removed]All photographs courtesy of Shirley Dwork. Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2003-01-09 20:13:17 Field theory Homological algebra Cohomology theories Conjectures Number theory Algebraic number field Crystalline cohomology Weil conjectures Étale cohomology Abstract algebra Mathematics Algebra

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