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Geometry and topology
Results: 938

#	Item
771	BOUNDING THE NUMBER OF STABLE HOMOTOPY TYPES OF A PARAMETRIZED FAMILY OF SEMI-ALGEBRAIC SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. We prove a nearly optimal bound on the number of s Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:03 Homotopy Algebraic geometry CW complex Algebraic topology Freudenthal suspension theorem Homotopy category Topology Homotopy theory Abstract algebra
772	REFINED BOUNDS ON THE NUMBER OF CONNECTED COMPONENTS OF SIGN CONDITIONS ON A VARIETY SAL BARONE AND SAUGATA BASU Abstract. Let R be a real closed field, P, Q ⊂ R[X1 , . . . , Xk ] finite subsets of polynomials, with th Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-11-06 10:09:22 Algebraic geometry Commutative algebra Field extension Algebraic variety Algebraically closed field Zariski topology Betti number Puiseux series Algebraic closure Abstract algebra Algebra Field theory
773	NAGATA COMPACTIFICATION FOR ALGEBRAIC SPACES BRIAN CONRAD, MAX LIEBLICH, AND MARTIN OLSSON Abstract. We prove the Nagata compactification theorem for any separated map of finite type between quasi-compact and quasi-separ Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-06-23 22:43:39 Scheme theory Sheaf theory Étale morphism Pushout Algebraic space Finite morphism Spectrum of a ring Zariski topology Blowing up Abstract algebra Algebraic geometry Algebra
774	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
775	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
776	A COMPLEXITY THEORY OF CONSTRUCTIBLE FUNCTIONS AND SHEAVES SAUGATA BASU Abstract. In this paper we introduce analogues of the discrete complexity classes VP and VNP of sequences of functions in the Blum-Shub-Smale model. Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-10-06 09:48:25 Algebraic topology Structural complexity theory Field theory Time hierarchy theorem Constructible sheaf Algebraic geometry Sheaf Constructible function Constructible universe Abstract algebra Mathematics Algebra
777	Math Meth Oper Res[removed] : 287–301 The Shapley value for games on matroids: The dynamic model J. M. Bilbao1, T. S. H. Driessen2, A. Jime´nez-Losada3, and E. Lebro´n4 1 Matema´tica Aplicada II, Escuela Superior Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2002-12-11 13:40:11 Topology Dimension Matroid Geometry Shapley value Cooperative game Matroid theory Mathematics Game theory
778	Contemporary Mathematics Algorithmic Semi-algebraic Geometry and Topology – Recent Progress and Open Problems Saugata Basu Abstract. We give a survey of algorithms for computing topological invariants of semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:06 Real algebraic geometry Equations Algebraic geometry Semialgebraic set Algebraic variety Betti number Sheaf Algebraic topology Topology Abstract algebra Mathematics Algebra
779	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 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-01-30 23:55:12 Field theory Algebraic geometry Scheme theory Commutative algebra Algebraic curve Algebraic variety Field extension Real algebraic geometry Semialgebraic set Abstract algebra Algebra General topology
780	Workshop on group schemes and p-divisible groups: Homework[removed]i) Using the structure theorem and Frobenius morphisms, prove that a finite group scheme over a field is killed by its order. (Exer. 3(ii) in HW1 gives a Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:44:58 Group scheme Barsotti–Tate group Étale morphism Spectrum of a ring Flat topology Frobenius endomorphism Flat module Grothendieck topology Commutative ring Abstract algebra Algebra Algebraic geometry

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