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arXiv · 2006.16553

On Ulrich bundles on projective bundles

Andreas Hochenegger
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Abstract

In this article, the existence of Ulrich bundles on projective bundles $\mathbb P(E) \to X$ 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 $\mathbb P(E)$ is established for specific polarisations. This yields the existence of Ulrich bundles on a wide range of projective bundles over curves and surfaces.

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Andreas Hochenegger. 2020-06-30. On Ulrich bundles on projective bundles. https://doi.org/10.1007/s13366-021-00586-z

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