The Canonical Model of a Singular Curve

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 equ...

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Bibliographic Details
Main Authors: Kleiman, Steven L., Vidal Martins, Renato
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer 2011
Online Access:http://hdl.handle.net/1721.1/62837
https://orcid.org/0000-0001-7331-0761