Enriques surfaces covered by Jacobian Kummer surfaces

Details Enriques surfaces covered by Jacobian Kummer surfaces Enriques surfaces covered by Jacobian Kummer surfaces

2009-09-29

arxiv.org/abs/0909.5352v1

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

Mathematics

Algebraic Geometry

18pages

Scientific paper

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.

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