A henselian preparation theorem
Commutative Algebra
2024-01-22 v4 Algebraic Geometry
Abstract
We prove an analogue of the Weierstrass preparation theorem for henselian pairs, generalizing the local case recently proved by Bouthier and {\v C}esnavi{\v c}ius. As an application, we construct a henselian analogue of the resultant of p-adic series defined by Berger.
Cite
@article{arxiv.2112.13552,
title = {A henselian preparation theorem},
author = {Laurent Moret-Bailly},
journal= {arXiv preprint arXiv:2112.13552},
year = {2024}
}
Comments
10 pages. Final version, dedicated to Moshe Jarden