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20132024
most citedThe dimension growth conjecture, polynomial in the degree and without logarithmic factors

19 citations · 59 across the 19 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.NT2023

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…

math.LO2023★ 4 cited

Ax-Kochen-Ershov principles for finitely ramified henselian fields

Sylvy Anscombe, Philip Dittmann, Franziska Jahnke

We study the model theory of finitely ramified henselian valued fields of fixed initial ramification, obtaining versions of the Ax-Kochen-Ershov principle as follows. We identify t…