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Direct image functor
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1	´ Etale cohomology Prof. Dr. Uwe Jannsen Summer Term 2015 Add to Reading List Source URL: www.mathematik.uni-regensburg.de Language: English Algebra Abstract algebra Mathematics Sheaf theory Sheaf Grothendieck topology Coherent sheaf Representable functor tale cohomology Direct image functor Functor Universal property
2	´ ETALE COHOMOLOGY Contents 1. Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:10 Topology Sheaf Étale cohomology Grothendieck topology Étale topology Direct image functor Topos Étale morphism Gluing axiom Abstract algebra Category theory Sheaf theory
3	DERIVED CATEGORIES OF SPACES Contents 1. Introduction 2. Conventions 3. Generalities Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:09:17 Homological algebra Sheaf theory Sheaf Coherent sheaf Grothendieck topology Étale cohomology Direct image functor Flat morphism Derived functor Abstract algebra Category theory Algebra
4	DERIVED CATEGORIES OF SCHEMES Contents 1. Introduction 2. Conventions 3. Derived category of quasi-coherent modules Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-03 17:14:19 Algebra Sheaf theory Sheaf Coherent sheaf Derived functor Direct image functor Derived category Flat morphism Adjoint functors Abstract algebra Category theory Homological algebra
5	Topics in algebraic geometry Lecture notes of an advanced graduate course Caucher Birkar ([removed]) Add to Reading List Source URL: www.dpmms.cam.ac.uk Language: English - Date: 2010-03-05 16:56:44 Homological algebra Sheaf theory Sheaf Derived functor Local cohomology Direct image functor Coherent sheaf Grothendieck topology Exact functor Abstract algebra Category theory Algebra
6	Math 248B. Base change morphisms 1. Motivation A basic operation with sheaf cohomology is pullback. For a continuous map of topological spaces f : X 0 → X and an abelian sheaf F on X with (topological) pullback f −1 Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2011-01-07 20:00:43 Sheaf theory Algebraic topology Homological algebra Sheaf Pullback Direct image functor Grothendieck topology Cohomology Coherent sheaf Abstract algebra Topology Algebra
7	Introduction. Let f : X ---* Y be a continuous map of locally compact spaces. Let Sh(X), Sh(Y) denote the abelian categories of sheaves on X and Y, and D ( X ) , D(Y) denote the corresponding derived categories (maybe bo Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2008-09-06 15:24:36 Algebra Functors Sheaf theory Additive categories Triangulated category Sheaf Derived category Direct image functor Natural transformation Category theory Abstract algebra Homological algebra
8	Part I. Derived category De(X) and functors. Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2008-09-06 15:23:14 Sheaf theory Homological algebra Functors Algebraic geometry Algebraic topology Sheaf Direct image functor Adjoint functors Derived functor Abstract algebra Category theory Algebra
9	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2014-03-28 15:07:29 Topology Sheaf Verdier duality Adjoint functors Direct image functor Grothendieck topology Topos Functor Direct image with compact support Sheaf theory Abstract algebra Category theory
10	TANNAKA DUALITY FOR GEOMETRIC STACKS 1. Introduction Let X and S denote algebraic stacks of finite type over the field C of complex numbers, and let X an and S denote their analytifications (which are stacks in the comp Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2007-08-25 19:13:41 Scheme theory Algebraic geometry Homological algebra Algebraic topology Sheaf Topos Grothendieck topology Direct image functor Stalk Abstract algebra Algebra Sheaf theory