25 citations · 95 across the 28 of their papers we have counts for
32 papers
A radical answer to a question by Robinson
Blaise Boissonneau, Mikel E. Garciarena, Immanuel Halupczok
We study the ring of Puiseux polynomials with integer coefficients. We prove notably that the order given by the leading coefficient is definable without parameters in the language…
Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022)
Raf Cluckers, Immanuel Halupczok
We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advance…
On simple groups definable in some valued fields
Jakub Gismatullin, Immanuel Halupczok, Dugald Macpherson
We prove that non-abelian definable, definably simple groups in 1-h-minimal henselian valued fields are essentially already linear algebraic groups. Here, the group is assumed to l…
A Characterization of Quasi-homogeneous Bivariate Polynomials
David Bradley-Williams, Pablo Cubides Kovacsics, Immanuel Halupczok
If a reduced bivariate polynomial is quasi-homogeneous, then its discriminant is a monomial. Over fields of characteristic , we show that if one adds another simple condition, t…
A Non-Archimedean Approach to Stratifications
Immanuel Halupczok
These are notes from a mini-course about the main results of arXiv:2206.03438: I explain how, using suitable valued fields, one obtains a natural notion of canonical stratification…
Motivic Vitushkin invariants
Georges Comte, Immanuel Halupczok
We prove the nonarchimedean counterpart of a real inequality involving the metric entropy and measure geometric invariants , called Vitushkin's variations. Our inequality is b…