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On an automorphism of Hilb[2] of certain K3 surfaces

Part of: Arithmetic problems. Diophantine geometry Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  19 January 2011

Ekaterina Amerik
Ekaterina Amerik
Affiliation:
Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, 91405 Orsay, France (ekaterina.amerik@math.u-psud.fr) and MPIM Bonn, Vivatsgasse 7, 53111 Bonn, Germany
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Abstract

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Following some remarks made by O'Grady and Oguiso, the potential density of rational points on the second punctual Hilbert scheme of certain K3 surfaces is proved.

Keywords

K3 surfacepunctual Hilbert schemeinvolutionrational points

MSC classification

Secondary: 14J28: $K3$ surfaces and Enriques surfaces 14J50: Automorphisms of surfaces and higher-dimensional varieties 14G05: Rational points

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 1 - 7
Copyright
Copyright © Edinburgh Mathematical Society 2011

References

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