Homogeneous ACM bundles on exceptional Grassmannians
Algebraic Geometry
2023-10-30 v2
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.
Keywords
Cite
@article{arxiv.2211.02275,
title = {Homogeneous ACM bundles on exceptional Grassmannians},
author = {Xinyi Fang and Yusuke Nakayama and Peng Ren},
journal= {arXiv preprint arXiv:2211.02275},
year = {2023}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:2206.09172, arXiv:2211.00950