Actions of correspondences on Hodge cohomology over a Dedekind domain / vorgelegt von Grétar Amazeen. Wuppertal, 2023
Content
- Introduction
- Chapter 1. Weak Cohomology Theories With Supports
- Chapter 2. Chow Groups as a Weak Cohomology Theory With Supports
- Chapter 3. Existence Theorem
- Chapter 4. Hodge Cohomology as a Weak Cohomology Theory With Supports
- 1. Objects and Grading
- 2. Pullback
- 3. Pushforward
- 4. Hodge Cohomology as a Weak Cohomology Theory with Supports
- 5. Cycle Class
- Chapter 5. Correspondences
- Chapter 6. Applications
- Appendix A. Chow Groups Over a Base Scheme
- 1. Dimension and Rational Equivalence
- 2. Proper Pushforwards and Flat Pullbacks
- 3. Vector Bundles and the Normal Cone
- 4. The Refined Gysin Homomorphism
- 5. Exterior Products for 1-Dimensional Base Schemes
- Bibliography