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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Which singular K3 surfaces cover an Enriques surface


Author: Ali Sinan Sertöz
Journal: Proc. Amer. Math. Soc. 133 (2005), 43-50
MSC (2000): Primary 14J28; Secondary 11E39
Published electronically: August 20, 2004
MathSciNet review: 2085151
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Abstract: We determine the necessary and sufficient conditions on the entries of the intersection matrix of the transcendental lattice of a singular K3 surface for the surface to doubly cover an Enriques surface.


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Additional Information

Ali Sinan Sertöz
Affiliation: Department of Mathematics, Bilkent University, TR-06800 Ankara, Turkey
Email: sertoz@bilkent.edu.tr

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07666-X
PII: S 0002-9939(04)07666-X
Keywords: K3 surfaces, Enriques surfaces, integral lattices
Received by editor(s): February 15, 2003
Received by editor(s) in revised form: October 9, 2003
Published electronically: August 20, 2004
Additional Notes: This research was partially supported by TÜBİTAK-BDP
Communicated by: Michael Stillman
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.