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Homogeneous ACM bundles on exceptional Grassmannians

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arxiv 2211.02275 v2 pith:3GQR47MA submitted 2022-11-04 math.AG

classification math.AG
keywords bundlesexceptionalgrassmannianshomogeneousarithmeticallyassociatedcharacterizecohen-macaulay
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In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over exceptional Grassmannians in terms of their associated data. We show that there are only finitely many irreducible homogeneous ACM bundles by twisting line bundles over exceptional Grassmannians. As a consequence, we prove that some exceptional Grassmannians are of wild representation type.

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