Graded basic elements
Algebraic Geometry
2020-06-02 v3 Commutative Algebra
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.
Cite
@article{arxiv.1911.10646,
title = {Graded basic elements},
author = {Mengyuan Zhang},
journal= {arXiv preprint arXiv:1911.10646},
year = {2020}
}
Comments
13 pages, revised version