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arxiv: 2410.10388 · v1 · pith:VERP2NA5 · submitted 2024-10-14 · math.AG

Homogeneous Ulrich bundles on isotropic flag varieties

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classification math.AG
keywords bundleshomogeneousulrichampleclassconsiderequalexistence
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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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