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Algebraic varieties
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#	Item
251	Modularity of Generating Functions of Special Cycles on Shimura Varieties Wei Zhang Submitted in partial fulfillment of the Requirements for the degree Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-06-15 15:08:30 Modular forms Analytic number theory Group theory Algebraic curves Shimura variety Modular group Congruence subgroup Modular curve Lattice Abstract algebra Mathematical analysis Mathematics
252	A COMPACTIFICATION OF IGUSA VARIETIES ELENA MANTOVAN Abstract. We investigate the notion of Igusa level structure for a one-dimensional Barsotti-Tate group over a scheme X of positive characteristic and compare it to Dri Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2007-10-04 11:50:04 Algebraic groups Barsotti–Tate group Group scheme Tate module Moduli space Sheaf Étale morphism Abelian variety Abstract algebra Algebraic geometry Algebra
253	ON THE COHOMOLOGY OF CERTAIN PEL TYPE SHIMURA VARIETIES ELENA MANTOVAN Abstract. In this paper, we study the local geometry at a prime p of PEL type Shimura varieties for which there is a hyperspecial level subgroup. We Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2008-10-13 16:07:02 Homological algebra Cohomology theories Algebraic surfaces Algebraic groups Shimura variety Barsotti–Tate group Étale cohomology Elliptic curve Tate group Abstract algebra Algebra Algebraic geometry
254	Open problems: Descending cohomology, geometrically compiled by Barry Mazur * Open problems in mathematics, statistics, theoretical computer science and related areas are welcome. Please contact the section editor Kefeng Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2014-07-24 21:21:20 Hodge theory Homological algebra Algebraic curves Abelian varieties Algebraic surfaces Elliptic curve Hodge structure Moduli space Intermediate Jacobian Abstract algebra Algebraic geometry Geometry
255	ON CERTAIN UNITARY GROUP SHIMURA VARIETIES by Elena Mantovan Abstract. — In this paper, we study the local geometry at a prime p of a certain class of (PEL) Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2006-09-05 14:20:40 Algebraic geometry Shimura variety Étale cohomology Elliptic curve Group scheme Galois module Abelian variety Tate–Shafarevich group Barsotti–Tate group Abstract algebra Algebra Homological algebra
256	Geometry of Rational Curves on Algebraic Varieties Matthew F. DeLand Advisor: Johan de Jong Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-06-03 13:38:28 Birational geometry Moduli space Fano variety Pierre de Fermat Conic section Curve Projective space Linear system of divisors Geometry Algebraic geometry Abstract algebra
257	ON NON-BASIC RAPOPORT-ZINK SPACES ELENA MANTOVAN Abstract. In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, gi Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2008-03-11 12:47:25 Algebraic number theory Conjectures Automorphic forms Number theory Galois module Étale cohomology Admissible representation Local Langlands conjectures Algebraic number field Abstract algebra Algebra Representation theory of Lie groups
258	Fields Institute Communications Volume 00, 0000 ´ l-Adic Etale Cohomology of PEL Type Shimura Varieties Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2010-05-05 13:00:13 Homological algebra Cohomology theories Algebraic geometry Algebraic topology Étale cohomology Galois module Shimura variety Group scheme Tate module Abstract algebra Algebra Algebraic number theory
259	Rational Curves on Fano Threefolds of Picard Number One Mingmin Shen Submitted in partial fulfillment of the requirements for the degree Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2010-08-09 20:15:14 Algebraic varieties Vector bundles Birational geometry Projective geometry Fano variety Minimal model program Ample line bundle Canonical bundle Cubic threefold Algebraic geometry Geometry Abstract algebra
260	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: abel.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

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