Brian Conrad - PDFSEARCH.IO - Document Search Engine

Brian Conrad
Results: 47

#	Item
31	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
32	MOISHEZON SPACES IN RIGID GEOMETRY BRIAN CONRAD Abstract. We prove that all proper rigid-analytic spaces with “enough” algebraically independent meromorphic functions are algebraic (in the sense of proper algebraic s Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-08-21 00:45:36 Algebraic geometry and analytic geometry Algebraic variety Étale morphism Ample line bundle Rational mapping Sheaf Algebraic space Proper morphism Analytic space Abstract algebra Algebraic geometry Algebra
33	UNIVERSAL PROPERTY OF NON-ARCHIMEDEAN ANALYTIFICATION BRIAN CONRAD 1. Introduction 1.1. Motivation. Over C and over non-archimedean fields, analytification of algebraic spaces is defined as the solution to a quotient pro Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-08-24 01:02:52 Scheme theory Sheaf theory Spectrum of a ring Étale morphism Scheme Grothendieck topology Étale topology Sheaf Topos Abstract algebra Algebraic geometry Algebra
34	NON-ARCHIMEDEAN ANALYTIFICATION OF ALGEBRAIC SPACES BRIAN CONRAD AND MICHAEL TEMKIN 1. Introduction 1.1. Motivation. This paper is largely concerned with constructing quotients by ´etale equivalence relations. We are in Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2009-02-24 12:45:41 Sheaf theory Algebraic geometry Algebraic topology Scheme theory Étale morphism Algebraic geometry and analytic geometry Grothendieck topology Sheaf Ideal sheaf Abstract algebra Topology Mathematics
35	HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES BRIAN CONRAD 1. Introduction 1.1. Motivation. Let E be an elliptic curve over a p-adic integer ring R, and assume that E has supersingular reduction. Consider the 2-d Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-08-06 11:01:44 Algebraic number theory Group theory Algebraic groups Abelian variety Group scheme Elliptic curve Torsion subgroup Torsion Semistable abelian variety Abstract algebra Algebra Niels Henrik Abel
36	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
37	IRREDUCIBLE COMPONENTS OF RIGID SPACES BRIAN CONRAD This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over a complete field k. We prove the excellence of the local r Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 17:07:55 Commutative algebra Ring Krull dimension Noetherian ring Discrete valuation ring Integral element Valuation ring Divisor Integrally closed domain Abstract algebra Algebra Ring theory
38	APPROXIMATION OF VERSAL DEFORMATIONS BRIAN CONRAD AND A.J. DE JONG 1. Introduction In Artin’s work on algebraic spaces and algebraic stacks [A2], [A3], a crucial ingredient is the use of his approximation theorem to pr Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:05:22 Étale morphism Emmy Noether Artin approximation theorem Cardinal number C*-algebra Abstract algebra Algebra Mathematics
39	FINITE-ORDER AUTOMORPHISMS OF A CERTAIN TORUS BRIAN CONRAD 1. Introduction A classical result of Higman [H], [S, Exer. 6.3], asserts that the roots of unity in the group ring Z[Γ] of a finite commutative group Γ are th Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:47:17 Cyclic group Sheaf Filter Abelian group Abstract algebra Algebra Algebraic topology
40	REDUCTIVE GROUP SCHEMES Brian Conrad Abstract. — We develop the relative theory of reductive group schemes, using dynamic techniques and algebraic spaces to streamline the original development in SGA3. R´ Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-04-08 22:20:40 Unipotent Reductive group Group scheme Borel subgroup Representation theory Linear algebraic group Algebraic K-theory Lie–Kolchin theorem Quotient group Abstract algebra Algebra Algebraic groups

UPDATE