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Homogeneous ACM bundles on rational homogeneous spaces

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arxiv 2311.01877 v1 pith:PQ3UR5YM submitted 2023-11-03 math.AG

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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