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Graded basic elements
Journal of Algebra ( IF 0.9 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jalgebra.2020.06.010
Mengyuan Zhang

We prove the existence theorem for basic elements in the quasi-projective case, extending results of Eisenbud-Evans and Bruns from the affine case. We give several geometric applications. For example, we show that every local complete intersection of pure codimension two in a smooth projective variety of dimension d over an infinite field is the degeneracy locus of d-1 sections of a rank d bundle.

中文翻译:

分级基本元素

我们证明了准射影情况下基本元素的存在定理,扩展了Eisenbud-Evans 和Bruns 对仿射情况的结果。我们给出了几个几何应用。例如,我们证明在无限域上的维度 d 的平滑射影变体中纯余维 2 的每个局部完全交集都是秩 d 丛的 d-1 部分的简并轨迹。
更新日期:2020-10-01
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