Scheme theory

Results: 835



#Item
731Scheme 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

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

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Source URL: math.stanford.edu

Language: English - Date: 2006-01-19 19:29:21
732Scheme theory / Sheaf theory / Spectrum of a ring / Étale morphism / Scheme / Grothendieck topology / Étale topology / Sheaf / Topos / Abstract algebra / Algebraic geometry / Algebra

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

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Source URL: math.stanford.edu

Language: English - Date: 2010-08-24 01:02:52
733Sheaf theory / Algebraic geometry / Algebraic topology / Scheme theory / Étale morphism / Algebraic geometry and analytic geometry / Grothendieck topology / Sheaf / Ideal sheaf / Abstract algebra / Topology / Mathematics

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

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Source URL: math.stanford.edu

Language: English - Date: 2009-02-24 12:45:41
734Combinatorics / Finite fields / Information theory / Error detection and correction / Linear code / Association scheme / Constant-weight code / Big O notation / Distributed source coding / Mathematics / Coding theory / Discrete mathematics

Numerical results on the asymptotic rate of binary codes A. Barg and David B. Jaffe A BSTRACT. We compute upper bounds on the maximal size of a binary linear code of length n 1000, dimension k, and distance d For each va

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Source URL: www.math.unl.edu

Language: English - Date: 2000-03-22 13:00:52
735Algebraic number theory / Group theory / Algebraic groups / Abelian variety / Group scheme / Elliptic curve / Torsion subgroup / Torsion / Semistable abelian variety / Abstract algebra / Algebra / Niels Henrik Abel

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

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Source URL: math.stanford.edu

Language: English - Date: 2006-08-06 11:01:44
736Moduli theory / Scheme theory / Analytic number theory / Algebraic curves / Algebraic stack / Category theory / Elliptic curve / Modular form / Group scheme / Abstract algebra / Algebraic geometry / Geometry

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

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Source URL: math.stanford.edu

Language: English - Date: 2006-07-17 20:14:44
737Field theory / Algebraic geometry / Scheme theory / Commutative algebra / Algebraic curve / Algebraic variety / Field extension / Real algebraic geometry / Semialgebraic set / Abstract algebra / Algebra / General topology

A BABY STEP-GIANT STEP ROADMAP ALGORITHM FOR GENERAL ALGEBRAIC SETS ´ SCHOST S. BASU, M-F. ROY, M. SAFEY EL DIN, AND E. Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that tak

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Source URL: www.math.purdue.edu

Language: English - Date: 2012-01-30 23:55:12
738Homological algebra / Algebraic groups / Niels Henrik Abel / Scheme theory / Group scheme / Abelian group / Abelian variety / Tate module / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

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

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:43:25
739Sheaf theory / Homological algebra / Algebraic topology / Scheme theory / Algebraic geometry / Sheaf / Proj construction / Stalk / Gluing axiom / Abstract algebra / Topology / Algebra

Locally Free Sheaves Patrick Morandi Algebra Seminar, Spring 2002 In these talks we will discuss several important examples of locally free sheaves and see the connection between locally free sheaves and finitely generat

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Source URL: sierra.nmsu.edu

Language: English - Date: 2002-04-24 17:14:28
740Unipotent / Reductive group / Group scheme / Borel subgroup / Representation theory / Linear algebraic group / Algebraic K-theory / Lie–Kolchin theorem / Quotient group / Abstract algebra / Algebra / Algebraic groups

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´

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Source URL: math.stanford.edu

Language: English - Date: 2014-04-08 22:20:40
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