Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus
Abstract
The gonality conjecture predicts that the gonality of a curve can be read off Koszul cohomology of line bundles of sufficiently large degree. We verify this conjecture for generic curves of odd genus. The even-genus case was previously solved in the joint work arXiv:math.AG/0301261.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- January 2004
- DOI:
- 10.48550/arXiv.math/0401394
- arXiv:
- arXiv:math/0401394
- Bibcode:
- 2004math......1394A
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 7 pages, no figures