Mukai's program for curves on a K3 surface
Abstract
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 FourierMukai transform of a BrillNoether locus of rank two vector bundles on C.
 Publication:

arXiv eprints
 Pub Date:
 September 2013
 arXiv:
 arXiv:1309.0496
 Bibcode:
 2013arXiv1309.0496A
 Keywords:

 Mathematics  Algebraic Geometry;
 14J28
 EPrint:
 Final version. To appear in "Algebraic Geometry"