Homogeneous ACM bundles on exceptional Grassmannians

Abstract

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.

20 pages. arXiv admin note: text overlap with arXiv:2206.09172, arXiv:2211.00950