Asymptotic syzygies of algebraic varieties

被引：0
作者：
Lawrence Ein
Robert Lazarsfeld
机构：
[1] University Illinois at Chicago,Department of Mathematics
[2] University of Michigan,Department of Mathematics
来源：
Inventiones mathematicae | 2012年 / 190卷
关键词：
Vector Bundle; Algebraic Variety; Smooth Projective Variety; Ample Divisor; Segre Variety;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the asymptotic behavior of the syzygies of a smooth projective variety as the positivity of the embedding line bundle grows. The main result asserts that the syzygy modules are non-zero in almost all degrees allowed by Castelnuovo–Mumford regularity. We also give an effective statement for Veronese varieties that we conjecture to be optimal.
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页码：603 / 646
页数：43
相关论文
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