Homogeneous Ulrich bundles on isotropic flag varieties
Abstract
In this paper, we consider the existence problem of Ulrich bundles on a rational homogeneous space $G/P$ of type $B$, $C$ or $D$. We show that if the Picard number of $G/P$ is greater than or equal to $2$, then there are no irreducible homogeneous Ulrich bundles on $G/P$ with respect to the minimal ample class.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2024
- arXiv:
- arXiv:2410.10388
- Bibcode:
- 2024arXiv241010388F
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 30 pages