3 citations · 3 across the 1 of their papers we have counts for
2 papers
math.LO2026★ 3 cited
Incidence bounds in positive characteristic via valuations and distality
Martin Bays, Jean-François Martin
We prove distality of quantifier-free relations on valued fields with finite residue field. By a result of Chernikov-Galvin-Starchenko, this yields Szemerédi-Trotter-like incidenc…
math.LO2025
Elekes-Szabó for collinearity on cubic surfaces
Martin Bays, Jan Dobrowolski, Tingxiang Zou
We study the orchard problem on cubic surfaces. We classify possibly reducible cubic surfaces $X\subseteq \mathbb{P}^3(\C)$ with smooth components on which there exist families of…