On the classification of non-big Ulrich vector bundles on surfaces and threefolds

TL;DR

This paper classifies non-big Ulrich vector bundles on smooth complex surfaces and threefolds, providing a comprehensive understanding of their structure and properties.

Contribution

It offers the first classification of non-big Ulrich vector bundles on these varieties, expanding the knowledge of their geometric and algebraic characteristics.

Findings

Complete classification of non-big Ulrich bundles on surfaces and threefolds

Identification of key properties distinguishing these bundles

Insights into their geometric implications

Abstract

We classify Ulrich vector bundles that are not big on smooth complex surfaces and threefolds.