Ulrich bundles on three dimensional scrolls

TL;DR

This paper constructs low-rank Ulrich bundles on three-dimensional scrolls, focusing on four classified types in projective 5-space, advancing understanding of their geometric properties.

Contribution

It introduces new constructions of Ulrich bundles on threefold scrolls, especially on the four classified types in projective space.

Findings

Construction of low-rank Ulrich bundles on threefold scrolls

Detailed analysis of four types of threefold scrolls in P^5

Enhanced understanding of Ulrich bundles in algebraic geometry

Abstract

In this paper we construct Ulrich bundles of low rank on three-dimensional scrolls (with respect to the tautological line bundle). We pay special attention to the four types of threefold scrolls in $\mathbb{P}^5$ which were classified in [Ott92].