papers
Publications (20)
math.LO2014
The elementary theory of large fields of totally S-adic numbers
Arno Fehm
math.AC2013
Existential 0-definability of henselian valuation rings
Arno Fehm
math.LO2014
Elementary geometric local-global principles for fields
Arno Fehm
math.NT2012
Random Galois extensions of Hilbertian fields
Lior Bary-Soroker, Arno Fehm
math.NT2013
On fields of totally $S$-adic numbers
Lior Bary-Soroker, Arno Fehm, with appendix by Florian Pop
math.AC2014
Uniform definability of henselian valuation rings in the Macintyre language
Arno Fehm, Alexander Prestel
math.NT2013
Hilbertian fields and Galois representations
Lior Bary-Soroker, Arno Fehm, Gabor Wiese
math.LO2016
Characterizing diophantine henselian valuation rings and valuation ideals
Sylvy Anscombe, Arno Fehm
math.LO2014
On the quantifier complexity of definable canonical henselian valuations
Arno Fehm, Franziska Jahnke
math.AG2008
Subfields of ample fields I. Rational maps and definability
Arno Fehm
math.NT2017
Correlations of sums of two squares and other arithmetic functions in function fields
Lior Bary-Soroker, Arno Fehm
math.AC2012
Split embedding problems over the open arithmetic disc
Arno Fehm, Elad Paran
math.LO2015
The existential theory of equicharacteristic henselian valued fields
Sylvy Anscombe, Arno Fehm
math.NT2018
Embedding problems for automorphism groups of field extensions
Arno Fehm, François Legrand, Elad Paran
math.AC2014
Fields with almost small absolute Galois group
Arno Fehm, Franziska Jahnke
math.AG2011
Open Problems in the Theory of Ample Fields
Lior Bary-Soroker, Arno Fehm
math.AG2013
On varieties of Hilbert type
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
math.LO2016
Recent Progress on Definability of Henselian Valuations
Arno Fehm, Franziska Jahnke
math.NT2017
Three counterexamples concerning the Northcott property of fields
Arno Fehm
math.NT2015
Sums of two squares in short intervals in polynomial rings over finite fields
Efrat Bank, Lior Bary-Soroker, Arno Fehm