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2005/02/20 | Endraß Octic[Endraß Octic]
类别(∑〖数学〗)
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发表于 14:20
Endraß surfaces are a pair of
octic surfaces
which have 168
ordinary double points
. This is the maximum number known to exist for an
octic surface
, although the rigorous upper bound is 174. The equations of the surfaces
are
where w is a parameter taken as w = 1 in the above plots. All
ordinary double points
of
are real, while 24 of those in
are complex. The surfaces were discovered in a five-dimensional family of octics with 112 nodes, and are invariant under the
group
.
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