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1 June 2013 Generic strange duality for K3 surfaces
Alina Marian, Dragos Oprea
Duke Math. J. 162(8): 1463-1501 (1 June 2013). DOI: 10.1215/00127094-2208643

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 surfaces 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.

Citation

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Alina Marian. Dragos Oprea. "Generic strange duality for K3 surfaces." Duke Math. J. 162 (8) 1463 - 1501, 1 June 2013. https://doi.org/10.1215/00127094-2208643

Information

Published: 1 June 2013
First available in Project Euclid: 28 May 2013

zbMATH: 1275.14037
MathSciNet: MR3079253
Digital Object Identifier: 10.1215/00127094-2208643

Subjects:
Primary: 14D20, 14J60

Rights: Copyright © 2013 Duke University Press

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Vol.162 • No. 8 • 1 June 2013
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