Birational Geometry of Quartic 3-folds Ii: the Importance of Being Q-factorial
نویسنده
چکیده
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.
منابع مشابه
Birational Geometry of Terminal Quartic 3-folds. I Alessio Corti and Massimiliano Mella
1.1. Abstract. In this paper, we study the birational geometry of certain examples of mildly singular quartic 3-folds. A quartic 3-fold is a special case of a Fano variety, that is, a varietyX with ample anticanonical sheaf OX(−KX). Nonsingular Fano 3-folds have been studied quite extensively. From the point of view of birational geometry they basically fall within two classes: either X is “clo...
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