Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415837 | Journal of Pure and Applied Algebra | 2016 | 12 Pages |
Abstract
In this paper, Gotzmann's Regularity Theorem is established for globally generated coherent sheaves on projective space. This is used to extend Gotzmann's explicit construction to the Quot scheme. The Gotzmann representation is applied to bound the second Chern class of a rank 2 globally generated coherent sheaf in terms of the first Chern class.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roger Dellaca,