25 citations · 95 across the 28 of their papers we have counts for
3 papers · 1 filter
Spherically complete models of Hensel minimal valued fields
David Bradley-Williams, Immanuel Halupczok
We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hens…
Arc-wise analytic t-stratifications
Pablo Cubides Kovacsics, Immanuel Halupczok
We introduce two new notions of stratifications in valued fields: t-stratifications and arc-wise analytic t-stratifications. We show the existence of arc-wise analytic t-strati…
Hensel minimality II: Mixed characteristic and a diophantine application
Raf Cluckers, Immanuel Halupczok, Silvain Rideau-Kikuchi +1
In this paper together with the preceding Part I \cite{CHR}, we develop a framework for tame geometry on Henselian valued fields of characteristic zero, called Hensel minimality. I…