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Curves of Degree r + 2 in Pr: Cohomological, Geometric, and Homological Aspects

โœ Scribed by Markus Brodmann; Peter Schenzel

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
317 KB
Volume
242
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let โŠ† r K be a non-degenerate projective curve of degree r + 2, where r โ‰ฅ 3. By means of the Hartshorne-Rao module of we distinguish 4 different possible cases (and an exceptional case which only appears if r = 3). In any case is obtained either by means of an embedding of an arbitrary smooth curve 0 of genus 2, or by projecting an elliptic normal curve from a point or by projecting a rational normal curve from a line. Finally, the possible minimal free resolutions of the homogeneous coordinate ring of are studied.

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