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62837 |
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|a Kleiman, Steven L.
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Kleiman, Steven L.
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|a Kleiman, Steven L.
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|a Vidal Martins, Renato
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|a The Canonical Model of a Singular Curve
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|b Springer,
|c 2011-05-18T21:06:22Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/62837
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|a We give re fined statements and modern proofs of Rosenlicht's re- sults about the canonical model C' of an arbitrary complete integral curve C. Notably, we prove that C and C' are birationally equivalent if and only if C is nonhyperelliptic, and that, if C is nonhyperelliptic, then C' is equal to the blowup of C with respect to the canonical sheaf [omega]. We also prove some new results: we determine just when C' is rational normal, arithmetically normal, projectively normal, and linearly normal.
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|a Conselho Nacional de Pesquisas (Brazil) (Grant number PDE 200999/2005-2)
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|a en_US
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|a Article
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|t Geometriae Dedicata
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