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Actions of correspondences on Hodge cohomology over a Dedekind domain
Introduction
Chapter 1. Weak Cohomology Theories With Supports
Chapter 2. Chow Groups as a Weak Cohomology Theory With Supports
1. Pushforward
2. Pullback
3. CH= (CH,CH,S,1) is a weak cohomology theory with supports
Chapter 3. Existence Theorem
1. Proof of the Proposition
2. Proof of the 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
1. General Correspondences
2. New family of supports
3. The functor Cor
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
Dissertation
Actions of correspondences on Hodge cohomology over a Dedekind domain / vorgelegt von Grétar Amazeen
Entstehung
Wuppertal
2023
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