Heisenberg-invariant kummer surfaces

Reference:

Hulek, K., Nieto, I. and Sankaran, G. K., 2000. Heisenberg-invariant kummer surfaces. Proceedings of the Edinburgh Mathematical Society, 43 (2), pp. 425-439.

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Official URL:

http://dx.doi.org/10.1017/s0013091500021015

Abstract

We study, from the point of view of abelian and Kummer surfaces and their moduli, the special quintic threefold known as Nieto's quintic. It is, in some ways, analogous to the Segre cubic and the Burkhardt quartic and can be interpreted as a moduli space of certain Kummer surfaces. It contains 30 planes and has 10 singular points: we describe how some of these arise from bielliptic and product abelian surfaces and their Kummer surfaces.

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