Etale Cohomology - Part 2
نویسندگان
چکیده
1. Grothendieck Topologies 1 2. The Category of Sheaves on a Site 3 3. Operations on presheaves and sheaves 6 4. Stalks of étale sheaves; the mapping cylinder 7 4.1. Stalks 7 4.2. The mapping cylinder 10 5. Cohomology 12 6. Flabby sheaves and Čech cohomology 13 7. Excision and cohomology with supports 17 8. Comparison theorems 19 8.1. Comparison of étale and Zariski cohomologies 20 8.2. Comparison of the étale and complex cohomologies 21 9. Cohomology of Gm 21 10. Cohomology of a curve 23 11. Galois module structure 24 Appendix A. Set theory and Universes 25 A.1. Universes 25 A.2. Constructions involving universes 26 A.3. Summary 27 References 27
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