### Abstract

Original language | English |
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Pages (from-to) | 425-439 |

Number of pages | 15 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 43 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2000 |

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### Cite this

*Proceedings of the Edinburgh Mathematical Society*,

*43*(2), 425-439. https://doi.org/10.1017/s0013091500021015

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

Research output: Contribution to journal › Article

*Proceedings of the Edinburgh Mathematical Society*, vol. 43, no. 2, pp. 425-439. https://doi.org/10.1017/s0013091500021015

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TY - JOUR

T1 - Heisenberg-invariant kummer surfaces

AU - Hulek, K

AU - Nieto, I

AU - Sankaran, Gregory K

PY - 2000

Y1 - 2000

N2 - 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.

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.

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

U2 - 10.1017/s0013091500021015

DO - 10.1017/s0013091500021015

M3 - Article

VL - 43

SP - 425

EP - 439

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 2

ER -