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Canonical Height Functions For Monomial Maps

Number Theory 2012-05-10 v1 Dynamical Systems

Abstract

We show that the canonical height function defined by Silverman does not have the Northcott finiteness property in general. We develop a new canonical height function for monomial maps. In certain cases, this new canonical height function has nice properties.

Cite

@article{arxiv.1205.2020,
  title  = {Canonical Height Functions For Monomial Maps},
  author = {Jan-Li Lin and Chi-Hao Wang},
  journal= {arXiv preprint arXiv:1205.2020},
  year   = {2012}
}
R2 v1 2026-06-21T21:00:56.551Z