Stability and cohomology of kernel bundles on projective space
Algebraic Geometry
2022-04-22 v1 Commutative Algebra
Abstract
In this paper, we study the cohomology of vector bundles on projective space defined as kernels or cokernels of general maps , where the are direct sums of line bundles or certain exceptional bundles. We prove an asymptotic cohomology vanishing theorem. We characterize the stability of general Steiner bundles on projective space. We also give a criterion for a Steiner bundle to be ample.
Keywords
Cite
@article{arxiv.2204.10247,
title = {Stability and cohomology of kernel bundles on projective space},
author = {Izzet Coskun and Jack Huizenga and Geoffrey Smith},
journal= {arXiv preprint arXiv:2204.10247},
year = {2022}
}
Comments
20 pages, 1 figure