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arXiv · 2201.06019

Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension

Angelo Felice Lopez·Roberto Muñoz·José Carlos Sierra
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Abstract

On any smooth $n$-dimensional variety we give a pretty precise picture of rank $r$ Ulrich vector bundles with numerical dimension at most $\frac{n}{2}+r-1$. Also, we classify non-big Ulrich vector bundles on quadrics and on the Del Pezzo fourfold of degree $6$.

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Angelo Felice Lopez, Roberto Muñoz, José Carlos Sierra. 2022-01-16. Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension. https://arxiv.org/abs/2201.06019

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