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.NT2025
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.AG2024
On geometrically fields
Konstantinos Kartas
A field is called geometrically if every smooth projective separably rationally connected -variety has a -rational point. Given a henselian valued field of equal ch…