Ulrich Bundles on Veronese surfaces

Abstract

We prove that every Ulrich bundle on the Veronese surface has a resolution in terms of twists of the trivial bundle over ${\mathbb{P}}^2$. Using this classification, we prove existence results for stable Ulrich bundles over ${\mathbb{P}}^k$ with respect to an arbitrary polarization $dH$.

to appear in the Proceedings of the AMS

Cited by in corpus (5)

• Characterization of Ulrich bundles on Hirzebruch surfaces
• Ulrich Bundles on Projective Spaces
• On Ulrich bundles on projective bundles
• Ulrich bundles on the degree six Segre fourfold
• Ulrich Trichotomy on del Pezzo surfaces