为licci理想分割法模

Pub Date : 2022-03-01 DOI:10.1216/jca.2022.14.55

Mark R. Johnson

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引用次数: 1

摘要

对于域上幂级数环上的licci理想，证明了当理想是超曲面截面时，它的法模有自由和。利用B. Ulrich的结果，在Gorenstein的情况下，人们可以证明，直到变形，法向模是不可分解的。

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Splitting the conormal module for licci ideals

For a licci ideal in a power series ring over a field, it is shown that its conormal module has a free summand precisely when the ideal is a hypersurface section. Using results of B. Ulrich, in the Gorenstein case one can show, up to deformation, that the conormal module is indecomposable.

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