Adjoint ideals along closed subvarieties of higher codimension
Adjoint ideals along closed subvarieties of higher codimension
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DOI：
10.1515/crelle.2010.031
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发表时间：
2007-11
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影响因子：
--
通讯作者：
S. Takagi
中科院分区：
文献类型：
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作者：
S. Takagi
本文引入了高余维闭子簇上的伴随理想层的概念，并用特征p方法研究了它的局部性质。当X是光滑复变簇A的正规Gorenstein闭子簇时，我们给出了A的伴随理想层Adj X(A)沿X涉及L.C.I.的限制性质.理想层𝒟X的X。证明依赖于原和吉田的广义检验理想的修正。阿默。数学课。SoC。355：3143-3174,2003]。
Abstract In this paper, we introduce a notion of adjoint ideal sheaves along closed subvarieties of higher codimension and study its local properties using characteristic p methods. When X is a normal Gorenstein closed subvariety of a smooth complex variety A, we formulate a restriction property of the adjoint ideal sheaf adj X (A) of A along X involving the l.c.i. ideal sheaf 𝒟 X of X. The proof relies on a modification of generalized test ideals of Hara and Yoshida [Trans. Amer. Math. Soc. 355: 3143–3174, 2003].