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26 April 2024

» arxiv » 1710.6692

Article overview

Mukai's program (reconstructing a K3 surface from a curve) via wall-crossing
Soheyla Feyzbakhsh ;
Date:	18 Oct 2017
Abstract:	Let $C$ be a curve of genus $g=11$ or $g geq 13$ on a K3 surface whose Picard group is generated by the curve class $[C]$. We use wall-crossing with respect to Bridgeland stability conditions to generalise Mukai’s program to this situation: we show how to reconstruct the K3 surface containing the curve $C$ as a Fourier-Mukai transform of a Brill-Noether locus of vector bundles on $C$.
Source:	arXiv, 1710.6692
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