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math.AGAug 30, 2019
6
citations (OpenAlex)
authors
  • Yohsuke Matsuzawa
  • Shou Yoshikawa
arXiv abstractPDF
paper

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

arXiv:1908.11537

Abstract

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

arXiv comment25 pages

References in corpus (6)

  • Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties
  • Polarized endomorphisms of normal projective threefolds in arbitrary characteristic
  • (Relative) dynamical degrees of rational maps over an algebraic closed field
  • On upper bounds of arithmetic degrees
  • Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism
  • On the Arithmetic Dynamics of Monomial Maps

Cited by in corpus (5)

  • Non-density of points of small arithmetic degrees
  • Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits
  • A note on Kawaguchi-Silverman conjecture
  • Effective Eigendivisors and the Kawaguchi-Silverman Conjecture
  • Potential density of projective varieties having an int-amplified endomorphism
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