1 citations · 1 across the 5 of their papers we have counts for
7 papers
The tilting equivalence as a bi-interpretation
Silvain Rideau-Kikuchi, Thomas Scanlon, Pierre Simon
We propose a model theoretic interpretation of the theorems about the equivalence between mixed characteristic perfectoid spaces and their tilts.
On groups definable in geometric fields with generic derivations
Anand Pillay, Françoise Point, Silvain Rideau-Kikuchi
We study groups definable in existentially closed geometric fields with commuting derivations. Our main result is that such a group can be definably embedded in a group interpretab…
On residual domination and types orthogonal to the value group
Pablo Cubides Kovacsics, Silvain Rideau-Kikuchi, Mariana Vicaría
We present a unifying framework of residual domination for (expansions of) henselian valued fields of equicharacteristic zero, encompassing some valued fields with operators. We sh…
Imaginaries in equicharacteristic zero henselian fields
Silvain Rideau-Kikuchi, Mariana Vicaría
We classify the imaginaries in a large class of equicharacteristic zero henselian valued fields that contain all those with bounded inertia group, and more. To do so, we consider a…
Pseudo T-closed fields
Samaria Montenegro, Silvain Rideau-Kikuchi
Pseudo algebraically closed, pseudo real closed, and pseudo -adically closed fields are examples of unstable fields that share many similarities, but have mostly been studied se…
Enriching a predicate and tame expansions of the integers
Gabriel Conant, Christian d'Elbée, Yatir Halevi +2
Given a structure and a stably embedded -definable set , we prove tameness preservation results when enriching the induced structure on by some furt…
Valued fields, Metastable groups
Ehud Hrushovski, Silvain Rideau-Kikuchi
We introduce a class of theories called metastable, including the theory of algebraically closed valued fields (ACVF) as a motivating example. The key local notion is that of defin…