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Graded basic elements.
- Source :
-
Journal of Algebra . Oct2020, Vol. 560, p1075-1091. 17p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRAIC geometry
*ABELIAN varieties
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 560
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 144935615
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2020.06.010