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.

A finite group acting on the moduli space of K3 surfaces / P. Stellari. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 360:12(2008), pp. 6631-6642. [10.1090/S0002-9947-08-04512-1]

A finite group acting on the moduli space of K3 surfaces

P. Stellari
Primo
2008

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.
Fourier-Mukai partners; K3 surfaces; Moduli space of K3 surfaces
Settore MAT/03 - Geometria
http://www.ams.org/tran/2008-360-12/S0002-9947-08-04512-1/S0002-9947-08-04512-1.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/54696
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