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Effective good divisibility of rational homogeneous varieties

Algebraic Geometry 2023-09-26 v3 Algebraic Topology Combinatorics

Abstract

We compute the effective good divisibility of a rational homogeneous variety, extending an earlier result for complex Grassmannians by Naldi and Occhetta. Non-existence of nonconstant morphisms to rational homogeneous varieties of classical Lie type are obtained as applications.

Keywords

Cite

@article{arxiv.2212.03439,
  title  = {Effective good divisibility of rational homogeneous varieties},
  author = {Haoqiang Hu and Changzheng Li and Zhaoyang Liu},
  journal= {arXiv preprint arXiv:2212.03439},
  year   = {2023}
}

Comments

22 pages. 2 figures. Comments are welcome