English

Gromov's ellipticity of principal $G_m$-bundles

Algebraic Geometry 2025-08-21 v4

Abstract

We prove that every nontrivial principal GmG_m-bundle over a complete uniformly rational variety is algebraically elliptic in the sense of Gromov.

Keywords

Cite

@article{arxiv.2406.10379,
  title  = {Gromov's ellipticity of principal $G_m$-bundles},
  author = {Shulim Kaliman},
  journal= {arXiv preprint arXiv:2406.10379},
  year   = {2025}
}

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24 pages