On the cohomology of irreducible holomorphically symplectic varieties
- We study the cohomology of IHS varieties. After giving some results of the algebraic properties of the Fujiki relation, we proceed to a description of the integral cohomology of the generalized Kummer fourfold. We implement two models for the multiplicative structure of the cohomology ring of Hilbert schemes and give a series of computer based results in the case of Hilbert schemes of points on K3 surfaces.
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| Author: | Simon Kapfer |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-38421 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/3842 |
| Advisor: | Marc A. Nieper-WißkirchenGND |
| Type: | Doctoral Thesis |
| Language: | English |
| Date of Publication (online): | 2016/09/23 |
| Publishing Institution: | Universität Augsburg |
| Granting Institution: | Universität Augsburg, Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Date of final exam: | 2016/06/29 |
| Release Date: | 2016/11/07 |
| Tag: | IHS varieties; cohomology; irreducible holomorphically symplectic varieties |
| GND-Keyword: | Algebraische Geometrie; Holomorphe Mannigfaltigkeit; Symplektische Mannigfaltigkeit; Hilbertsches Schema; K 3-Fläche; Kohomologie |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht |
