Heisenberg-invariant kummer surfaces

K Hulek, I Nieto, Gregory K Sankaran

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)425-439
Number of pages15
JournalProceedings of the Edinburgh Mathematical Society
Volume43
Issue number2
DOIs
Publication statusPublished - 2000

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Quintic
Invariant
Abelian Surfaces
Threefolds
Quartic
Singular Point
Moduli Space
Modulus

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Heisenberg-invariant kummer surfaces. / Hulek, K; Nieto, I; Sankaran, Gregory K.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 43, No. 2, 2000, p. 425-439.

Research output: Contribution to journalArticle

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