A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS

被引：1
|
作者：
Maddock, Zachary [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
FORUM OF MATHEMATICS SIGMA | 2016年 / 4卷
关键词：
THREEFOLDS;
D O I：
10.1017/fms.2015.32
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions. This result is then used in the context of the minimal model program to rule out the existence of smooth varieties fibered by certain nonnormal del Pezzo surfaces over bases of small dimension.
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页数：13
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