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Homogeneous Ulrich bundles on isotropic flag varieties
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classification
math.AG
keywords
bundleshomogeneousulrichampleclassconsiderequalexistence
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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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