Q-factorial quartic threefolds

Details Q-factorial quartic threefolds Q-factorial quartic threefolds

2007-01-16

arxiv.org/abs/math/0701459v2

Mathematics

Algebraic Geometry

13 pages; minor corrections

Scientific paper

We prove that a nodal quartic threefold $X$ containing no planes is
$Q$-factorial provided that it has not more than 12 singular points, with the
exception of a quartic with exactly 12 singularities containing a quadric
surface. We give some geometrical constructions related to the latter quartic.

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