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Étale morphism
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31	K-THEORY OF LOG-SCHEMES I WIESLAWA NIZIOL Abstract. We set down some basic facts about the algebraic and topological K-theory of log-schemes. In particular, we show that the l-adic topological log-´ etale K-theory of lo Add to Reading List Source URL: www.math.utah.edu Language: English - Date: 2012-06-06 09:24:41 Algebraic geometry Scheme theory Category theory Topos theory Flat morphism Étale morphism Grothendieck topology Sheaf Topos Abstract algebra Algebra Sheaf theory
32	[Page 1] On Dwork cohomology for singular hypersurfaces Francesco Baldassarri and Pierre Berthelot Add to Reading List Source URL: perso.univ-rennes1.fr Language: English - Date: 2006-04-28 04:27:45 Homological algebra Cohomology theories Homology theory Algebraic geometry Crystalline cohomology Sheaf De Rham cohomology Étale morphism Cohomology Abstract algebra Algebraic topology Algebra
33	Workshop on group schemes and p-divisible groups: Homework[removed]Let S be a scheme, and G and G0 group schemes over S. (i) Using Yoneda’s Lemma and group theory, show that the identity section and inversion morphism fo Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-08-12 12:17:47 Scheme theory Topos theory Homological algebra Algebraic groups Spectrum of a ring Étale morphism Normal subgroup Group scheme Valuation Abstract algebra Algebra Algebraic geometry
34	RAMIFIED DEFORMATION PROBLEMS BRIAN CONRAD Introduction The proof of the semistable Taniyama-Shimura Conjecture by Wiles [22] and Taylor-Wiles [21] uses as its central tool the deformation theory of Galois representation Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-12 00:22:25 Algebraic number theory Galois theory Frobenius endomorphism Galois module Group scheme Dieudonné module Étale morphism Finite field Abstract algebra Algebra Algebraic groups
35	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
36	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
37	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
38	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
39	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
40	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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