Cohomology of the moduli space of non-hyperelliptic genus four curves

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Mauro Fortuna

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OriginalspracheEnglisch
Seiten (von - bis)757-797
Seitenumfang41
FachzeitschriftAnnales de l'Institut Fourier
Jahrgang71
Ausgabenummer2
PublikationsstatusVeröffentlicht - 12 Aug. 2021

Abstract

We compute the intersection Betti numbers of the GIT model of the moduli space of Brill-Noether-Petri general curves of genus 4. This space was shown to be the final non-trivial log canonical model for the moduli space of stable genus four curves, under the Hassett-Keel program. The strategy of the cohomological computation relies on a general method developed by Kirwan to calculate 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.

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Cohomology of the moduli space of non-hyperelliptic genus four curves. / Fortuna, Mauro.
in: Annales de l'Institut Fourier, Jahrgang 71, Nr. 2, 12.08.2021, S. 757-797.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Fortuna, Mauro. / Cohomology of the moduli space of non-hyperelliptic genus four curves. in: Annales de l'Institut Fourier. 2021 ; Jahrgang 71, Nr. 2. S. 757-797.
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