Arno Fehm

Available identifiers

List of research outcomes

Publication	Date of Publication	Type
The Minimal Ramification Problem for Rational Function Fields over Finite Fields	2024-01-25	Paper
Axiomatizing the existential theory of $\mathbb{F}_q((t))$	2024-01-04	Paper
Hilbert properties under base change in small extensions	2023-12-24	Paper
Ramified covers of abelian varieties over torsion fields	2023-11-27	Paper
A note on finite embedding problems with nilpotent kernel	2022-10-25	Paper
Constructing totally p-adic numbers of small height	2022-04-08	Paper
Nondefinability of rings of integers in most algebraic fields	2022-02-14	Paper
Denseness results in the theory of algebraic fields	2021-06-14	Paper
On the Northcott property and local degrees	2021-04-23	Paper
Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields	2021-03-15	Paper
Existential rank and essential dimension of diophantine sets	2021-02-13	Paper
A note on finite embedding problems with nilpotent kernel	2020-11-15	Paper
Approximation theorems for spaces of localities	2020-10-21	Paper
A p‐adic analogue of Siegel's theorem on sums of squares	2020-10-16	Paper
Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one	2019-12-23	Paper
Embedding problems for automorphism groups of field extensions	2019-10-17	Paper
Sums of two squares in short intervals in polynomial rings over finite fields	2018-08-28	Paper
Three counterexamples concerning the Northcott property of fields	2018-07-02	Paper
Recent progress on definability of Henselian valuations	2018-04-16	Paper
Characterizing diophantine henselian valuation rings and valuation ideals	2017-09-15	Paper
THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS	2017-05-02	Paper
Fields with almost small absolute Galois group	2016-09-15	Paper
The existential theory of equicharacteristic Henselian valued fields	2016-06-22	Paper
Hilbertian fields and Galois representations	2016-03-14	Paper
On the quantifier complexity of definable canonical Henselian valuations	2015-09-22	Paper
Uniform definability of henselian valuation rings in the Macintyre language:	2015-08-14	Paper
EXISTENTIAL ∅-DEFINABILITY OF HENSELIAN VALUATION RINGS	2015-05-20	Paper
On fields of totally $S$-adic numbers	2015-04-10	Paper
On varieties of Hilbert type	2015-01-16	Paper
Algebraic Functions in the Wiener Algebra	2014-08-18	Paper
Split embedding problems over the open arithmetic disc	2014-06-11	Paper
Elementary geometric local-global principles for fields	2013-12-11	Paper
Hilbertianity of division fields of commutative algebraic groups	2013-11-01	Paper
Random Galois extensions of Hilbertian fields	2013-06-11	Paper
Klein approximation and Hilbertian fields	2013-04-17	Paper
Kuykian fields	2012-10-19	Paper
Non-Ample Complete Valued Fields	2011-10-25	Paper
Open Problems in the Theory of Ample Fields	2011-06-07	Paper
Galois theory over rings of arithmetic power series	2011-03-14	Paper
Embeddings of function fields into ample fields	2011-02-17	Paper
ON THE RANK OF ABELIAN VARIETIES OVER AMPLE FIELDS	2010-06-08	Paper
Subfields of ample fields. Rational maps and definability	2010-03-29	Paper
A note on defining transcendentals in function fields	2010-01-07	Paper

Research outcomes over time

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