Birational geometry of terminal quartic 3-folds II: the importance of beings Q-factorial

Details Birational geometry of terminal quartic 3-folds II: the importance of beings Q-factorial Birational geometry of terminal quartic 3-folds II: the importance of beings Q-factorial

2004-02-16

arxiv.org/abs/math/0402258v1

Mathematics

Algebraic Geometry

16 pages, AMSLaTeX2e, this is the final version of a preprint that circulated in 2002 and benefited much from referee suggesti

Scientific paper

The paper explores the birational geometry of terminal quartic 3-folds. In
doing this I develop a new approach to study maximal singularities with
positive dimensional centers. This allows to determine the pliability of a
Q-factorial quartic with ordinary double points, and it shows the importance of
Q-factoriality in the context of birational geometry of uniruled 3-folds

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