Homogeneous ACM bundles on rational homogeneous spaces

2023/11/03 by Fang, Xinyi
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.01877

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.

Related

• Homogeneous Ulrich bundles on homogenous varieties of certain exceptional types
• Homogeneous ACM bundles on exceptional Grassmannians
• Arithmetically Cohen--Macaulay bundles on homogeneous varieties of Picard rank one
• Homogeneous ACM bundles on isotropic Grassmannians
• Homogeneous Ulrich bundles on isotropic flag varieties