Ulrich bundles on Veronese surfaces

Coskun, Emre; Genc, Ozhan

doi:10.1090/proc/13659

Ulrich bundles on Veronese surfaces
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by Emre Coskun and Ozhan Genc PDF

Proc. Amer. Math. Soc. 145 (2017), 4687-4701 Request permission

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 $dH$.

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