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arXiv · 2006.08410

Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II

Soheyla Feyzbakhsh
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Abstract

Let $C$ be a curve on a K3 surface $X$ with Picard group $\mathbb{Z}.[C]$. Mukai's program seeks to recover $X$ from $C$ by exhibiting it as a Fourier-Mukai partner to a Brill-Noether locus of vector bundles on $C$. We use wall-crossing in the space of Bridgeland stability conditions to prove this for genus $\ge14$. This paper deals with the case $g-1$ prime left over from Paper I.

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Soheyla Feyzbakhsh. 2020-06-15. Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II. https://arxiv.org/abs/2006.08410

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