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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Metadaten
Author:Simon Kapfer
URN:urn:nbn:de:bvb:384-opus4-38421
Frontdoor URLhttps://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