English

Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section

Logic 2024-09-17 v1

Abstract

We prove relative quantifier elimination for Pal's multiplicative valued difference fields with an added lifting map of the residue field. Furthermore, we generalize a NIP\mathrm{NIP} transfer result for valued fields by Jahnke and Simon to NTP2\mathrm{NTP}_2 to show that said valued difference fields are NTP2\mathrm{NTP}_2 if and only if value group and residue field are.

Keywords

Cite

@article{arxiv.2409.10406,
  title  = {Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section},
  author = {Christoph Kesting},
  journal= {arXiv preprint arXiv:2409.10406},
  year   = {2024}
}

Comments

17 pages, work form the authors master's thesis

R2 v1 2026-06-28T18:46:23.339Z