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- W2172645765 abstract "In [FL10], Farkas and Ludwig calculated the Kodaira dimension of the moduli space $overline{R}_g$ of Prym curves for various $g$. In particular, for $g geq 14$, $g not= 15$, the space is of general type. The aim of this paper is to close the gap at $g = 15$, i.e. show that $overline{R}_{15}$ is of general type as well. To this end we exhibit a virtual divisor on $overline{R}_{15}$ as the degeneracy locus of a globalized multiplication map of sections of line bundles. We then proceed to show that this locus is indeed of codimension one and calculate its class. Using this class, we conclude that $K_{overline{R}_{15}}$ is big." @default.
- W2172645765 created "2016-06-24" @default.
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- W2172645765 date "2015-11-26" @default.
- W2172645765 modified "2023-09-27" @default.
- W2172645765 title "$overline{R}_{15}$ is of general type" @default.
- W2172645765 hasPublicationYear "2015" @default.
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