Heisenberg-invariant kummer surfaces

K Hulek; I Nieto; Gregory K Sankaran

doi:10.1017/s0013091500021015

Heisenberg-invariant kummer surfaces

K Hulek, I Nieto, Gregory K Sankaran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	425-439
Number of pages	15
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	43
Issue number	2
DOIs	https://doi.org/10.1017/s0013091500021015
Publication status	Published - 2000

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AB - 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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Heisenberg-invariant kummer surfaces

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