The Canonical Model of a Singular Curve
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We 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.
28 pages, no figures, IV Congresso Iberoamericano de Geometria Complexa
28 pages, no figures, IV Congresso Iberoamericano de Geometria Complexa