Mukai’s program (reconstructing a K3 surface from a curve) via wall-crossing
2020 ◽
Vol 2020
(765)
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pp. 101-137
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Keyword(s):
AbstractLet 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.
Keyword(s):
2013 ◽
Vol 23
(1)
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pp. 117-163
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Keyword(s):
2018 ◽
Vol 2018
(735)
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pp. 1-107
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Keyword(s):
2016 ◽
Vol 11
(1)
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pp. 69-74