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
UR - https://www.scopus.com/pages/publications/84858061287
U2 - 10.1017/s0013091500021015
DO - 10.1017/s0013091500021015
M3 - Article
SN - 0013-0915
VL - 43
SP - 425
EP - 439
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
IS - 2
ER -