Notes on algebraic stacks
نویسنده
چکیده
1 Moduli problems, spaces, and stacks. Vector bundles and K-theory 3 1.1 Some category theory . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Back to moduli spaces . . . . . . . . . . . . . . . . . . . . . . 4 1.3 The way out of the problem . . . . . . . . . . . . . . . . . . . 7 1.4 Algebraic stacks and moduli of vector bundles . . . . . . . . . 7 1.5 K-theory of schemes . . . . . . . . . . . . . . . . . . . . . . . 8
منابع مشابه
Introduction to Algebraic Stacks
In these notes, we give an introduction to stacks with an eye toward moduli spaces of elliptic curves. The goal is to give a full definition of a Deligne-Mumford stack.
متن کاملA GUIDE TO THE LITERATURE Contents
1. Short introductory articles 1 2. Classic references 1 3. Books and online notes 2 4. Related references on foundations of stacks 3 5. Papers in the literature 3 5.1. Deformation theory and algebraic stacks 3 5.2. Coarse moduli spaces 5 5.3. Intersection theory 6 5.4. Quotient stacks 7 5.5. Cohomology 9 5.6. Existence of finite covers by schemes 10 5.7. Rigidification 11 5.8. Stacky curves 11...
متن کاملA Guide to the Literature
1. Short introductory articles 1 2. Classic references 1 3. Books and online notes 2 4. Related references on foundations of stacks 3 5. Papers in the literature 3 5.1. Deformation theory and algebraic stacks 3 5.2. Coarse moduli spaces 5 5.3. Intersection theory 6 5.4. Quotient stacks 7 5.5. Cohomology 9 5.6. Existence of finite covers by schemes 10 5.7. Rigidification 11 5.8. Stacky curves 11...
متن کاملA GUIDE TO THE LITERATURE Contents
1. Short introductory articles 1 2. Classic references 1 3. Books and online notes 2 4. Related references on foundations of stacks 3 5. Papers in the literature 3 5.1. Deformation theory and algebraic stacks 3 5.2. Coarse moduli spaces 5 5.3. Intersection theory 6 5.4. Quotient stacks 7 5.5. Cohomology 9 5.6. Existence of finite covers by schemes 10 5.7. Rigidification 11 5.8. Stacky curves 11...
متن کاملA Guide to the Literature
1. Short introductory articles 1 2. Classic references 1 3. Books and online notes 2 4. Related references on foundations of stacks 3 5. Papers in the literature 3 5.1. Deformation theory and algebraic stacks 3 5.2. Coarse moduli spaces 5 5.3. Intersection theory 6 5.4. Quotient stacks 7 5.5. Cohomology 9 5.6. Existence of finite covers by schemes 10 5.7. Rigidification 11 5.8. Stacky curves 11...
متن کامل