Homogeneous ACM bundles on exceptional Grassmannians
Xinyi Fang, Yusuke Nakayama, Peng Ren
TL;DR
This paper classifies homogeneous ACM bundles on exceptional Grassmannians, showing finiteness of irreducible cases and establishing that some are of wild representation type.
Contribution
It provides a complete characterization of homogeneous ACM bundles on exceptional Grassmannians and demonstrates their finite classification and wild representation type.
Findings
Finite number of irreducible homogeneous ACM bundles
Characterization of these bundles via associated data
Some exceptional Grassmannians are of wild representation type
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory