On degenerate sections of vector bundles
Algebraic Geometry
2020-02-28 v2
Abstract
We consider the locus of sections of a vector bundle on a projective scheme that vanish in higher dimension than expected. We show that after applying a high enough twist, any maximal component of this locus consists entirely of sections vanishing along a subscheme of minimal degree. In fact, we will give a more refined description of this locus, which will allow us to deduce its limit in the Grothendieck ring of varieties.
Cite
@article{arxiv.1703.10568,
title = {On degenerate sections of vector bundles},
author = {Dennis Tseng},
journal= {arXiv preprint arXiv:1703.10568},
year = {2020}
}
Comments
29 pages, revised according to referee comments, comments welcome