### On Ulrich bundles on projective bundles

##### Beiträge zur Algebra und Geometrie, 63(3):573-587, 2022.

Parole chiave

Abstract. In this article, the existence of Ulrich bundles on projective bundles $\mathbb{P}(\mathcal{E}) \to X$ is discussed. In the case, that the base variety $X$ is a curve or surface, a close relationship between Ulrich bundles on $X$ and those on $\mathbb{P}(\mathcal{E})$ is established for specific polarisations. This yields the existence of Ulrich bundles on a wide range of projective bundles over curves and some surfaces.

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