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arXiv · 1611.05309

A lower bound for the gonality conjecture

Wouter Castryck
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Abstract

For every integer $k \geq 3$ we construct a $k$-gonal curve $C$ along with a very ample divisor of degree $2g + k - 1$ (where $g$ is the genus of $C$) to which the vanishing statement from the Green-Lazarsfeld gonality conjecture does not apply.

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Wouter Castryck. 2016-11-16. A lower bound for the gonality conjecture. https://doi.org/10.1112/s0025579317000067

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