Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus

Mathematics – Algebraic Geometry

Scientific paper

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7 pages, no figures

Scientific paper

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.

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