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