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arXiv · 1911.10646

Graded basic elements

Mengyuan Zhang
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Abstract

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.

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Mengyuan Zhang. 2020-06-01. Graded basic elements. https://arxiv.org/abs/1911.10646

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