Factoriality of complete intersections in ℙ5

被引：0
|
作者：
Dimitra Kosta
机构：
[1] The University of Edinburgh,School of Mathematics
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 264卷
关键词：
Singular Point; STEKLOV Institute; Complete Intersection; Linear Condition; Homogeneous Form;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let X be a complete intersection of two hypersurfaces Fn and Fk in ℙ5 of degree n and k, respectively, with n ≥ k, such that the singularities of X are nodal and Fk is smooth. We prove that if the threefold X has at most (n + k − 2)(n − 1) − 1 singular points, then it is factorial.
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页码：102 / 109
页数：7
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