Q-factorial quartic threefolds

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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.
13 pages; minor corrections

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Algebraic Geometry, 14E05 (Primary); 14E07, 14J30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/157706

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701459
 http://arxiv.org/abs/math/0701459

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arXiv