@article{12311,
  abstract     = {In this note, we prove a formula for the cancellation exponent  kv,n between division polynomials  ψn  and  ϕn  associated with a sequence  {nP}n∈N of points on an elliptic curve  E  defined over a discrete valuation field  K. The formula greatly generalizes the previously known special cases and treats also the case of non-standard Kodaira types for non-perfect residue fields.},
  author       = {Naskręcki, Bartosz and Verzobio, Matteo},
  issn         = {1473-7124},
  journal      = {Proceedings of the Royal Society of Edinburgh Section A: Mathematics},
  keywords     = {Elliptic curves, Néron models, division polynomials, height functions, discrete valuation rings},
  number       = {5},
  pages        = {1646--1660},
  publisher    = {Cambridge University Press},
  title        = {{Common valuations of division polynomials}},
  doi          = {10.1017/prm.2024.7},
  volume       = {155},
  year         = {2025},
}