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Elliptic geometry
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291	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
292	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
293	ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-07-17 20:14:44 Moduli theory Scheme theory Analytic number theory Algebraic curves Algebraic stack Category theory Elliptic curve Modular form Group scheme Abstract algebra Algebraic geometry Geometry
294	Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:25 Homological algebra Algebraic groups Niels Henrik Abel Scheme theory Group scheme Abelian group Abelian variety Tate module Elliptic curve Abstract algebra Algebra Algebraic geometry
295	Reflection groups of Lorentzian lattices. 21 September[removed]Duke Math. J[removed]no. 2, [removed]Richard E. Borcherds, ∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2001-02-23 12:26:49 Modular forms Elliptic functions Riemann surfaces Lie groups Analytic number theory Lattice Theta function Möbius transformation Unimodular lattice Mathematical analysis Abstract algebra Geometry
296	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
297	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS POSSIBLE PROJECTS CHANTAL DAVID, CONCORDIA UNIVERSITY ASSISTANT: ALINA BUCUR, UCSD For background material, and more details about the projects, see the notes. Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:53 Algebra Hyperelliptic curve Moduli space Elliptic curve Gonality of an algebraic curve Artin–Schreier theory L-function Zeta function Curve Abstract algebra Algebraic curves Geometry
298	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
299	Modular forms and arithmetic geometry Stephen S. Kudla1 The aim of these notes is to describe some examples of modular forms whose Fourier coeﬃcients involve quantities from arithmetical algebraic geometry. At the mome Add to Reading List Source URL: www.math.toronto.edu Language: English - Date: 2007-09-12 16:04:37 Modular forms Riemann surfaces Group theory Theta function Connection Elliptic curve Symbol World glyph set Mathematical analysis Mathematics Analytic number theory
300	Arithmetic Hirzebruch Zagier cycles by Stephen S. Kudla1 arXiv:math.AG[removed]v1 16 Apr 1999 Add to Reading List Source URL: www.math.toronto.edu Language: English - Date: 2007-09-12 16:04:44 Analytic number theory Algebraic geometry Supersingular elliptic curve Modular form Shimura variety Clifford algebra Formal group Moduli space Holomorphic functional calculus Abstract algebra Algebra Moduli theory

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