Graded basic elements

JOURNAL OF ALGEBRA

卷:560

Article

Zhang, Mengyuan¹ 

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

关键词: Algebraic geometry;    Basic elements;    Projective varieties;    Degeneracy locus;   

DOI  :  10.1016/j.jalgebra.2020.06.010

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free