Homogeneous ACM bundles on rational homogeneous spaces
Algebraic Geometry
2023-11-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2311.01877,
title = {Homogeneous ACM bundles on rational homogeneous spaces},
author = {Xinyi Fang},
journal= {arXiv preprint arXiv:2311.01877},
year = {2023}
}
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25 pages