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Mathematics > Algebraic Geometry

arXiv:1812.03817 (math)
[Submitted on 10 Dec 2018 (v1), last revised 23 Dec 2020 (this version, v2)]

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

Authors:Mauro Fortuna
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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.
Comments: 27 pages, 4 figures; final version to appear in Annales de l'Institut Fourier
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1812.03817 [math.AG]
  (or arXiv:1812.03817v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1812.03817

Submission history

From: Mauro Fortuna [view email]
[v1] Mon, 10 Dec 2018 14:25:00 UTC (25 KB)
[v2] Wed, 23 Dec 2020 13:38:56 UTC (28 KB)
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