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Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism

Algebraic Geometry 2019-09-02 v1 Dynamical Systems Number Theory

Abstract

We prove Kawaguchi-Silverman conjecture for all surjective endomorphisms on every smooth rationally connected variety admitting an int-amplified endomorphism.

Keywords

Cite

@article{arxiv.1908.11537,
  title  = {Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism},
  author = {Yohsuke Matsuzawa and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:1908.11537},
  year   = {2019}
}

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25 pages