A GUIDE TO THE LITERATURE Contents

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چکیده

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 5.9. Hilbert, Quot, Hom and branchvariety stacks 11 5.10. Toric stacks 12 5.11. Theorem on formal functions and Grothendieck’s Existence Theorem 13 5.12. Group actions on stacks 14 5.13. Taking roots of line bundles 14 5.14. Other papers 14 6. Stacks in other fields 14 7. Higher stacks 14 8. Other chapters 15 References 16

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تاریخ انتشار 2015