9 citations · 19 across the 22 of their papers we have counts for
3 papers · 2 filters
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…
A comparison of finiteness conditions in quadratic form theory
Karim Johannes Becher, Saurabh Gosavi
We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the -invariant, the reduced stability index an…
Sums of squares in function fields over a henselian valued field
Karim Johannes Becher, Nicolas Daans, David Grimm +2
The Pythagoras number of a field is the smallest natural number such that every sum of squares in the field is a sum of squares. Given a nondyadic henselian valued field $(…