Nagoya Mathematical Journal

Enriques surfaces covered by Jacobian Kummer surfaces

Hisanori Ohashi

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Abstract

This paper classifies Enriques surfaces whose K3-cover is a fixed Picard-general Jacobian Kummer surface. There are exactly 31 such surfaces. We describe the free involutions which give these Enriques surfaces explicitly. As a biproduct, we show that $\operatorname{Aut}(X)$ is generated by elements of order 2, which is an improvement of the theorem of S. Kondo.

Article information

Source
Nagoya Math. J., Volume 195 (2009), 165-186.

Dates
First available in Project Euclid: 14 September 2009

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1252934377

Mathematical Reviews number (MathSciNet)
MR2552959

Zentralblatt MATH identifier
1178.14042

Subjects
Primary: 14J28: $K3$ surfaces and Enriques surfaces

Citation

Ohashi, Hisanori. Enriques surfaces covered by Jacobian Kummer surfaces. Nagoya Math. J. 195 (2009), 165--186. https://projecteuclid.org/euclid.nmj/1252934377


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References

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