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Enriques Surfaces Covered by Jacobian Kummer Surfaces

Published online by Cambridge University Press:  11 January 2016

Hisanori Ohashi
Hisanori Ohashi*
Affiliation:
Research Institute for Mathematical SciencesKyoto University, Sakyo-ku, Kyoto 606-8502, Japanpioggia@kurims.kyoto-u.ac.jp
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Abstract

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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 Aut(X) is generated by elements of order 2, which is an improvement of the theorem of S. Kondo.

Keywords

14J28
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009 , pp. 165 - 186
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

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