Mukai's program for curves on a K3 surface
Algebraic Geometry
2016-02-16 v3
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 Fourier-Mukai transform of a Brill-Noether locus of rank two vector bundles on C.
Cite
@article{arxiv.1309.0496,
title = {Mukai's program for curves on a K3 surface},
author = {Enrico Arbarello and Andrea Bruno and Edoardo Sernesi},
journal= {arXiv preprint arXiv:1309.0496},
year = {2016}
}
Comments
Final version. To appear in "Algebraic Geometry"