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arXiv · 2205.10143

On the classification of non-big Ulrich vector bundles on fourfolds

Angelo Felice Lopez·Roberto Muñoz·José Carlos Sierra
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Abstract

We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n \le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n \ge 2$.

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Angelo Felice Lopez, Roberto Muñoz, José Carlos Sierra. 2022-05-20. On the classification of non-big Ulrich vector bundles on fourfolds. https://arxiv.org/abs/2205.10143

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