Positivity properties of divisors on Toric Vector Bundles
Algebraic Geometry
2023-08-21 v1
Abstract
We use presentations of the Cox rings of projectivized toric vector bundles and elements of matroid theory to compute Newton-Okounkov bodies, effective cones, and nef cones of these spaces. As an application we analyze the Fano property and establish Fujita's freeness and ampleness conjectures for several classes of projectivized toric vector bundles.
Keywords
Cite
@article{arxiv.2308.09014,
title = {Positivity properties of divisors on Toric Vector Bundles},
author = {Courtney George and Christopher Manon},
journal= {arXiv preprint arXiv:2308.09014},
year = {2023}
}
Comments
30 pages, 2 figures