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- W3103811156 abstract "The open subvariety $overline{M}_g^{leq k}$ of $overline{M}_g$ parametrizes stable curves of genus $g$ having at most $k$ rational components. By the work of Looijenga, one expects that the cohomological excess of $overline{M}_g^{leq k}$ is at most $g-1+k$. In this paper we show that when $k=0$, the conjectured upper bound is sharp by showing that there is a constructible sheaf on $overline{H}_g^{leq k}$ (the hyperelliptic locus) which has non-vanishing cohomology in degree $3g-2$." @default.
- W3103811156 created "2020-11-23" @default.
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- W3103811156 date "2013-11-06" @default.
- W3103811156 modified "2023-09-23" @default.
- W3103811156 title "The Cohomological Excess of Certain Moduli Spaces of Curves of Genus g" @default.
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- W3103811156 doi "https://doi.org/10.1093/imrn/rnt229" @default.
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