Generic strange duality for $K3$ surfaces

Details Generic strange duality for $K3$ surfaces Generic strange duality for $K3$ surfaces

2010-05-01

arxiv.org/abs/1005.0102v2

Mathematics

Algebraic Geometry

Appendix is written by Kota Yoshioka

Scientific paper

Strange duality is shown to hold over generic $K3$ surfaces in a large number of cases. The isomorphism for elliptic $K3$ surfaces is established first via Fourier-Mukai techniques. Applications to Brill-Noether theory for sheaves on $K3$s are also obtained. The appendix written by Kota Yoshioka discusses the behavior of the moduli spaces under change of polarization, as needed in the argument.

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