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- Title
Cohomology of Moduli Space of Cubic Fourfolds I.
- Authors
Si, Fei
- Abstract
In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan's blowup and Laza's GIT construction. More precisely, we obtain the Betti numbers of Kirwan's resolution of the moduli space. Furthermore, by applying decomposition theorem we obtain the Betti numbers of the intersection cohomology of Baily-Borel compactification of the moduli space.
- Subjects
INTERSECTION numbers; BETTI numbers
- Publication
Acta Mathematica Sinica, 2023, Vol 39, Issue 5, p773
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-022-1042-5