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arXiv · 2410.10388

Homogeneous Ulrich bundles on isotropic flag varieties

Xinyi Fang·Yusuke Nakayama
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Abstract

In this paper, we consider the existence problem of Ulrich bundles on a rational homogeneous space $G/P$ of type $B$, $C$ or $D$. We show that if the Picard number of $G/P$ is greater than or equal to $2$, then there are no irreducible homogeneous Ulrich bundles on $G/P$ with respect to the minimal ample class.

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Xinyi Fang, Yusuke Nakayama. 2024-10-14. Homogeneous Ulrich bundles on isotropic flag varieties. https://arxiv.org/abs/2410.10388

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