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- W2010145425 abstract "We prove that an arbitrary reducible curve on a smooth surface has an essentially unique decomposition into chain-connected curves. Using this decomposition, we give an upper bound of the geometric genus of a numerically Gorenstein surface singularity in terms of certain topological data determined by the canonical cycle. We show also that the fixed part of the canonical linear system of a 1-connected curve is always rational, that is, the first cohomology of its structure sheaf vanishes." @default.
- W2010145425 created "2016-06-24" @default.
- W2010145425 creator A5065787208 @default.
- W2010145425 date "2010-04-01" @default.
- W2010145425 modified "2023-09-25" @default.
- W2010145425 title "Chain-connected component decomposition of curves on surfaces" @default.
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- W2010145425 doi "https://doi.org/10.2969/jmsj/06220467" @default.
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