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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


A finite group acting on the moduli space of K3 surfaces

Author: Paolo Stellari
Journal: Trans. Amer. Math. Soc. 360 (2008), 6631-6642
MSC (2000): Primary 14J28, 14J10
Published electronically: July 24, 2008
MathSciNet review: 2434303
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Abstract: We consider the natural action of a finite group on the moduli space of polarized K3 surfaces which induces a duality defined by Mukai for surfaces of this type. We show that the group permutes polarized Fourier-Mukai partners of polarized K3 surfaces and we study the divisors in the fixed loci of the elements of this finite group.

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Additional Information

Paolo Stellari
Affiliation: Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy

PII: S 0002-9947(08)04512-1
Keywords: K3 surfaces, moduli space of K3 surfaces, Fourier-Mukai partners
Received by editor(s): September 28, 2006
Received by editor(s) in revised form: March 13, 2007
Published electronically: July 24, 2008
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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