# Ulrich bundles on smooth projective varieties of minimal degree

## TL;DR

This paper classifies Ulrich vector bundles on smooth projective varieties of minimal degree and proves the stability of certain sheaves on rational scrolls, advancing understanding of vector bundle structures in algebraic geometry.

## Contribution

It provides a complete classification of Ulrich bundles on minimal degree varieties and establishes stability results for sheaves on rational scrolls.

## Key findings

- Complete classification of Ulrich bundles on minimal degree varieties
- Proof of stability for sheaves of relative differentials on rational scrolls
- Enhanced understanding of vector bundles in algebraic geometry

## Abstract

We classify the Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differentials on rational scrolls.