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- W4301702902 abstract "Let $C$ be a smooth curve which is complete intersection of a quadric and a degree $k>2$ surface in $mathbb{P}^3$ and let $C^{(2)}$ be its second symmetric power. In this paper we study the finite generation of the extended canonical ring $R(Delta,K) := bigoplus_{(a,b)inmathbb{Z}^2}H^0(C^{(2)},aDelta+bK)$, where $Delta$ is the image of the diagonal and $K$ is the canonical divisor. We first show that $R(Delta,K)$ is finitely generated if and only if the difference of the two $g_k^1$ on $C$ is torsion non-trivial and then show that this holds on an analytically dense locus of the moduli space of such curves." @default.
- W4301702902 created "2022-10-05" @default.
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- W4301702902 date "2015-02-01" @default.
- W4301702902 modified "2023-09-26" @default.
- W4301702902 title "About the semiample cone of the symmetric product of a curve" @default.
- W4301702902 doi "https://doi.org/10.48550/arxiv.1502.00298" @default.
- W4301702902 hasPublicationYear "2015" @default.
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