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.
Author: | Simon Kapfer |
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URN: | urn:nbn:de:bvb:384-opus4-38421 |
Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/3842 |
Advisor: | Marc A. Nieper-Wißkirchen |
Type: | Doctoral Thesis |
Language: | English |
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: | cohomology; irreducible holomorphically symplectic varieties; IHS 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 |