3 papers
math.LO2024
Almost real closed fields with real analytic structure
Kien Huu Nguyen, Mathias Stout, Floris Vermeulen
Cluckers and Lipshitz have shown that real closed fields equipped with real analytic structure are o-minimal. This generalizes the well-known subanalytic structure $\mathbb{R}_{\ma…
math.GR2023
Matsuo algebras in characteristic 2
Tom De Medts, Mathias Stout
We extend the theory of Matsuo algebras, which are certain non-associative algebras related to 3-transposition groups, to characteristic 2. Instead of idempotent elements associate…
math.NT2023
Existential uniform -adic integration and descent for integrability and largest poles
Raf Cluckers, Mathias Stout
Since the work by Denef, -adic cell decomposition provides a well-established method to study -adic and motivic integrals. In this paper, we present a variant of this method…