Ulrich bundles on K3 surfaces

TL;DR

This paper proves that every polarized K3 surface admits special rank 2 Ulrich bundles, expanding understanding of vector bundles on K3 surfaces and their geometric properties.

Contribution

It demonstrates the existence of rank 2 Ulrich bundles on all polarized K3 surfaces, a new result in the study of vector bundles on these surfaces.

Findings

Existence of rank 2 Ulrich bundles on all polarized K3 surfaces

Ulrich bundles have specific geometric and cohomological properties

Advances the classification of vector bundles on K3 surfaces

Abstract

We show that any polarized K3 surface supports special Ulrich bundles of rank 2.