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

Marian Aprodu
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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.

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Marian Aprodu. 2004-01-28. Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus. https://doi.org/10.1155/s107379280414035x

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