Nef cone of flag bundles over a curve

TL;DR

This paper computes the nef cone of flag bundles over a smooth projective curve, providing a detailed geometric understanding of these bundles in algebraic geometry.

Contribution

It explicitly determines the nef cone of flag bundles over a curve, extending the understanding of their positivity properties in algebraic geometry.

Findings

Explicit description of the nef cone for flag bundles over a curve

Extension of nef cone computations to a broad class of vector bundles

Enhanced understanding of positivity in algebraic geometry contexts

Abstract

Let $X$ be a smooth projective curve defined over an algebraically closed field $k$, and let $E$ be a vector bundle on $X$. We compute the nef cone of any flag bundle associated to $E$.