Homogeneous ACM bundles on rational homogeneous spaces
Reviewed by Pithpith:PQ3UR5YMopen to challenge →
classification
math.AG
keywords
bundleshomogeneousirreduciblerationalspacesulricharithmeticallycharacterize
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In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles and Ulrich bundles on rational homogeneous spaces. %with respect to general polarizations. From this result, we see that there are only finitely many irreducible homogeneous ACM bundles (up to twist) and Ulrich bundles on these varieties. Moreover, we give numerical criteria for some special irreducible homogeneous bundles to be ACM bundles.
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