English

Amplified endomorphisms of Fano fourfolds

Algebraic Geometry 2023-09-06 v2 Dynamical Systems

Abstract

Let XX be a smooth Fano fourfold admitting a conic bundle structure. We show that XX is toric if and only if XX admits an amplified endomorphism; in this case, XX is a rational variety.

Keywords

Cite

@article{arxiv.2011.11239,
  title  = {Amplified endomorphisms of Fano fourfolds},
  author = {Jia Jia and Guolei Zhong},
  journal= {arXiv preprint arXiv:2011.11239},
  year   = {2023}
}

Comments

Minor revision. Final version, to appear in manuscripta mathematica