The Canonical Model of a Singular Curve

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dc.creatorKleiman, Steven L.
dc.creatorMartins, Renato V.
dc.date2008-03-23
dc.date.accessioned2026-07-07T09:28:04Z
dc.date.available2026-07-07T09:28:04Z
dc.descriptionWe give refined statements and modern proofs of Rosenlicht's results 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 ω. We also prove some new results: we determine just when C' is rational normal, arithmetically normal, projectively normal, and linearly normal.
dc.description28 pages, no figures, IV Congresso Iberoamericano de Geometria Complexa
dc.identifierhttps://arxiv.org/abs/0803.3337
dc.identifierhttp://arxiv.org/abs/0803.3337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157324
dc.subjectAlgebraic Geometry
dc.subject14H20 (Primary); 14H45, 14H51 (Secondary)
dc.titleThe Canonical Model of a Singular Curve
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