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arXiv · 1005.0102

Generic strange duality for $K3$ surfaces

Alina Marian·Dragos Oprea·Kota Yoshioka
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Abstract

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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Alina Marian, Dragos Oprea, Kota Yoshioka. 2010-05-01. Generic strange duality for $K3$ surfaces. https://doi.org/10.1215/00127094-2208643

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