| dc.contributor.author | Kleiman, Steven L. | |
| dc.contributor.author | Vidal Martins, Renato | |
| dc.date.accessioned | 2011-05-18T21:06:22Z | |
| dc.date.available | 2011-05-18T21:06:22Z | |
| dc.date.issued | 2009-04 | |
| dc.date.submitted | 2008-03 | |
| dc.identifier.issn | 0046-5755 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/62837 | |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | Conselho Nacional de Pesquisas (Brazil) (Grant number PDE 200999/2005-2) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10711-008-9331-4 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Prof. Kleiman via Michael Noga | en_US |
| dc.title | The Canonical Model of a Singular Curve | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Kleiman, Steven Lawrence, and Renato Vidal Martins. “The canonical model of a singular curve.” Geometriae Dedicata 139.1 (2009) : 139-166. Copyright © 2009, Springer | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Kleiman, Steven L. | |
| dc.contributor.mitauthor | Kleiman, Steven L. | |
| dc.relation.journal | Geometriae Dedicata | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Kleiman, Steven Lawrence; Martins, Renato Vidal | en |
| dc.identifier.orcid | https://orcid.org/0000-0001-7331-0761 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
