21 citations · 46 across the 15 of their papers we have counts for
16 papers
Generalizations and minimalistic refinements of the t-birational Section Conjecture
Florian Pop
In this note we give generalizations and prove 'minimalistic' refinements of the t-birational Section Conjecture (t-BSC), cf. [Be], by doing both: First, by extending the class of…
Line and Hyperplane GT-variants
Florian Pop, Adam Topaz
In this work, we introduce a variant of the Grothendieck-Teichm{ü}ller group, defined in terms of complements of hyperplane arrangements and pro- two-step nilpotent fundament…
Characterizing finitely generated fields by a single field axiom
Philip Dittmann, Florian Pop
We resolve the strong Elementary Equivalence versus Isomorphism Problem for finitely generated fields. That is, we show that for every field in this class there is a first-order se…
On a Conjecture of Colliot-Thelene
Florian Pop
The aim of this short note is to extend results by Denef and Loughran, Skorobogatov, Smeets concerning refinements of a conjecture of Colliot-Thelene. The problem is about giving n…
A comparison between obstructions to local-global principles over semiglobal fields
David Harbater, Julia Hartmann, Valentijn Karemaker +1
We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields. There are sev…
Reconstruction of Function Fields from their pro-l abelian divisorial Inertia
Florian Pop
Let be the maximal pro- abelian-by-central, respectively abelian, Galois groups of a function field with algebraically closed and …