Birational geometry of quartic 3-folds II: The importance of being -factorial

Birational geometry of quartic 3-folds II: The importance of being -factorial
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四次三重的双有理几何 II:阶乘的重要性

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发表时间:
2004
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通讯作者:
M. Mella
M. Mella
中科院分区:
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文献类型:
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作者:
M. Mella

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摘要:本文探讨了终端四次3重的双有理几何。在这样做,我开发了一种新的方法来研究具有正维中心的极大奇点。这允许确定的柔韧性的一个阶乘四次与普通的双重点,它显示了重要性的阶乘的上下文中的双有理几何的uniruled 3倍。
Abstract.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 -factorial quartic with ordinary double points, and it shows the importance of -factoriality in the context of birational geometry of uniruled 3-folds.