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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

A finite group acting on the moduli space of K3 surfaces

Author(s): Paolo Stellari
Journal: Trans. Amer. Math. Soc. 360 (2008), 6631-6642.
MSC (2000): Primary 14J28, 14J10
Posted: July 24, 2008
MathSciNet review: 2434303
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Abstract | References | Similar articles | Additional information

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
Email: Paolo.Stellari@mat.unimi.it

DOI: 10.1090/S0002-9947-08-04512-1
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
Posted: July 24, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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