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arXiv:1309.0496 [math.AG]AbstractReferencesReviewsResources

Mukai's program for curves on a K3 surface

Enrico Arbarello, Andrea Bruno, Edoardo Sernesi

Published 2013-09-02, updated 2014-04-28Version 3

Let C be a general element in the locus of curves in M_g lying on some K3 surface, where g is congruent to 3 mod 4 and greater than or equal to 15. Following Mukai's ideas, we show how to reconstruct the K3 surface as a Fourier-Mukai transform of a Brill-Noether locus of rank two vector bundles on C.

Comments: Final version. To appear in "Algebraic Geometry"
Categories: math.AG
Subjects: 14J28
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