TL;DR
This paper proves that every abelian surface admits a rank 2 Ulrich bundle, expanding the understanding of vector bundles on abelian varieties.
Contribution
It establishes the existence of rank 2 Ulrich bundles on all abelian surfaces, a previously unknown universal property.
Findings
Existence of rank 2 Ulrich bundles on all abelian surfaces
Advancement in the classification of vector bundles on abelian varieties
Potential applications to algebraic geometry and moduli problems
Abstract
We prove that any abelian surface admits a rank 2 Ulrich bundle.
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