Homogeneous Ulrich bundles on isotropic flag varieties

Xinyi Fang; Yusuke Nakayama

Homogeneous Ulrich bundles on isotropic flag varieties

Algebraic Geometry 2024-10-15 v1

Authors: Xinyi Fang , Yusuke Nakayama

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.

Keywords

Ulrich bundles isotropic flag varieties homogeneous varieties Picard number

Cite

@article{arxiv.2410.10388,
  title  = {Homogeneous Ulrich bundles on isotropic flag varieties},
  author = {Xinyi Fang and Yusuke Nakayama},
  journal= {arXiv preprint arXiv:2410.10388},
  year   = {2024}
}

Comments

30 pages

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