Positivity Properties of Divisors on Toric Vector Bundles

The Michigan Mathematical Journal 2026 Open access

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Authors: Courtney George, Christopher Manon
DOI: 10.1307/mmj/20246518
Cited by: 0
References: 39

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometric and Algebraic Topology Geometry and complex manifolds

Publication details

Journal / source
The Michigan Mathematical Journal
Publisher
Michigan Mathematical Journal
Volume
-1
Issue
-1
Pages
1-37
Publication date
1 January 2026
Language
EN