A henselian preparation theorem
arXiv:2112.13552 · doi:10.1007/s11856-023-2545-1
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.
10 pages. Final version, dedicated to Moshe Jarden