Jet schemes of determinantal varieties

被引:0
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作者
Yuen, Cornelia [1 ]
机构
[1] SUNY Coll Potsdam, Dept Math, Potsdam, NY 13676 USA
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article studies the scheme structure of the jet schemes of determinantal varieties. We show that, in general, these jet schemes are not irreducible. In the case of the determinantal variety X of r x s matrices of rank at most one, we give a formula for the dimension of each of the components of its jet schemes. As an application, we compute the log canonical threshold of the pair (A(rs), X).
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页码:261 / 270
页数:10
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