Q-factorial quartic threefolds
Algebraic Geometry
2008-03-31 v2
Abstract
We prove that a nodal quartic threefold containing no planes is -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.
Keywords
Cite
@article{arxiv.math/0701459,
title = {Q-factorial quartic threefolds},
author = {Constantin Shramov},
journal= {arXiv preprint arXiv:math/0701459},
year = {2008}
}
Comments
13 pages; minor corrections