most citedAx-Kochen-Ershov principles for finitely ramified henselian fields

4 citations · 4 across the 1 of their papers we have counts for

collaborators
Showing math.NTShow all

2 papers · 1 filter

math.NT2025

Existential rank and essential dimension of diophantine sets

Nicolas Daans, Philip Dittmann, Arno Fehm

We study the minimal number of existential quantifiers needed to define a diophantine set over a field and relate this number to the essential dimension of the functor of points as…

math.NT2025

Uniform existential definitions of valuations in function fields in one variable

Karim Johannes Becher, Nicolas Daans, Philip Dittmann

We study function fields of curves over a base field which is either a global field or a large field having a separable field extension of degree divisible by . We show that…