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

Soheyla Feyzbakhsh

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

Algebraic Geometry 2020-06-16 v1

Authors: Soheyla Feyzbakhsh

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.

Keywords

fourier-mukai transform

Cite

@article{arxiv.2006.08410,
  title  = {Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II},
  author = {Soheyla Feyzbakhsh},
  journal= {arXiv preprint arXiv:2006.08410},
  year   = {2020}
}

Comments

Corrects an error in arXiv:1710.06692, whose proof is only valid for g-1 a composite number

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