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Ulrich Bundles on Veronese surfaces

Published 22 Sep 2016 in math.AG | (1609.07130v2)

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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