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arXiv · 2207.12603

Birational geometry of Beauville-Mukai systems I: the rank three and genus two case

Xuqiang Qin·Justin Sawon
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Abstract

We study wall-crossing for the Beauville-Mukai system of rank three on a general genus two K3 surface. We show that such a system is related to the Hilbert scheme of ten points on the surface by a sequence of flops, whose exceptional loci can be described as Brill-Noether loci. We also obtain Brill-Noether type results for sheaves in the Beauville-Mukai system.

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Xuqiang Qin, Justin Sawon. 2022-07-26. Birational geometry of Beauville-Mukai systems I: the rank three and genus two case. https://arxiv.org/abs/2207.12603

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