Cohomology of the moduli space of degree two Enriques surfaces

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  • Mauro Fortuna

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Original languageEnglish
Pages (from-to)839-878
Number of pages40
JournalAnnali della Scuola normale superiore di Pisa - Classe di scienze
Volume24
Issue number2
Publication statusPublished - 26 Jun 2023

Abstract

We compute the intersection Betti numbers of the GIT model of the moduli space of numerically polarized Enriques surfaces of degree 2. The strategy of the cohomological calculation relies on a general method developed by Kirwan to compute the cohomology of GIT quotients of projective varieties, based on the equivariantly perfect stratification of the unstable points studied by Hesselink and others and a partial resolution of singularities, called Kirwan blow-up.

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Cohomology of the moduli space of degree two Enriques surfaces. / Fortuna, Mauro.
In: Annali della Scuola normale superiore di Pisa - Classe di scienze, Vol. 24, No. 2, 26.06.2023, p. 839-878.

Research output: Contribution to journal › Article › Research › peer review

Fortuna M. Cohomology of the moduli space of degree two Enriques surfaces. Annali della Scuola normale superiore di Pisa - Classe di scienze. 2023 Jun 26;24(2):839-878. doi: 10.48550/arXiv.2008.06934, 10.2422/2036-2145.202010_034
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