PreprintCC BY 4.0arXiv
Post-critically finite polynomials over cyclotomic closures of number fields
Abstract
We prove that, for any number field K and and d at least 2, there are at most finitely many monic, centred, post-critically finite polynomials of degree d with coefficients in the extension of K by all roots of unity.
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BibTeX
@misc{ingram2026postcritically,
title = {{Post-critically finite polynomials over cyclotomic closures of number fields}},
author = {Patrick Ingram and Jorge Mello},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15257},
eprint = {2610.15257},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15257},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Post-critically finite polynomials over cyclotomic closures of number fields
AU - Patrick Ingram
AU - Jorge Mello
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15257
UR - https://arxiv.org/abs/2610.15257
AB - We prove that, for any number field K and and d at least 2, there are at most finitely many monic, centred, post-critically finite polynomials of degree d with coefficients in the extension of K by all roots of unity.
ER -