3 papers
math.NT2026
Transfer principles and the Kato-Kuzumaki conjecture
Felipe Gambardella, Konstantinos Kartas
We show that for tame valued fields of equal characteristic with divisible value group, the property lifts from the residue field to the valued field under suitable hypothese…
math.NT2026
Perfectoid transfer
Konstantinos Kartas
We prove a perfectoid analogue of the Ax-Kochen theorem on zeros of -adic forms: Given , there is a finite totally ramified extension such that…
math.AC2024
Beyond the Fontaine-Wintenberger theorem
Franziska Jahnke, Konstantinos Kartas
Given a perfectoid field, we find an elementary extension and a henselian defectless valuation on it, whose value group is divisible and whose residue field is an elementary extens…