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- W2968204695 abstract "Abstract Let C be a curve of genus <m:math xmlns:m=http://www.w3.org/1998/Math/MathML><m:mrow><m:mi>g</m:mi><m:mo>=</m:mo><m:mn>11</m:mn></m:mrow></m:math> {g=11} or <m:math xmlns:m=http://www.w3.org/1998/Math/MathML><m:mrow><m:mi>g</m:mi><m:mo>≥</m:mo><m:mn>13</m:mn></m:mrow></m:math> {ggeq 13} on a K3 surface whose Picard group is generated by the curve class <m:math xmlns:m=http://www.w3.org/1998/Math/MathML><m:mrow><m:mo stretchy=false>[</m:mo><m:mi>C</m:mi><m:mo stretchy=false>]</m:mo></m:mrow></m:math> {[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 ." @default.
- W2968204695 created "2019-08-22" @default.
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- W2968204695 date "2019-08-14" @default.
- W2968204695 modified "2023-09-27" @default.
- W2968204695 title "Mukai’s program (reconstructing a K3 surface from a curve) via wall-crossing" @default.
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- W2968204695 doi "https://doi.org/10.1515/crelle-2019-0025" @default.
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