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PreprintarXiv licencearXiv

A lower bound for the Call-Silverman height in cyclotomic extensions

  • Alessio Cangini
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Abstract

For quadratic postcritically finite polynomials defined over a number field K, we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cyclotomic extensions of K and provide partial results for the nonintegral case. Our proof combines potential theory and algebraic number theory with equidistribution techniques.

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Cite

BibTeXRIS
BibTeX
@misc{cangini2026lower,
  title = {{A lower bound for the Call-Silverman height in cyclotomic extensions}},
  author = {Alessio Cangini},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01747},
  eprint = {2609.01747},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01747},
}
RIS
TY  - UNPB
TI  - A lower bound for the Call-Silverman height in cyclotomic extensions
AU  - Alessio Cangini
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01747
UR  - https://arxiv.org/abs/2609.01747
AB  - For quadratic postcritically finite polynomials defined over a number field K, we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cyclotomic extensions of K and provide partial results for the nonintegral case. Our proof combines potential theory and algebraic number theory with equidistribution techniques.
ER  -