4 citations · 4 across the 1 of their papers we have counts for
4 papers
The Amalgamation Property for automorphisms of ordered abelian groups
Jan Dobrowolski, Rosario Mennuni
We prove that the category of ordered abelian groups equipped with an automorphism has the Amalgamation Property, deduce that their inductive theory is NIP in the sense of positive…
Automorphisms of valued fields: amalgamation and existential closedness
Jan Dobrowolski, Francesco Gallinaro, Rosario Mennuni
We study valued fields equipped with an automorphism. We prove that all of them have an extension admitting an equivariant cross-section of the valuation. In residual characteristi…
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…
Fields with Lie-commuting and iterative operators
Jan Dobrowolski, Omar Leon Sanchez
We introduce a general framework for studying fields equipped with operators, given as co-ordinate functions of homomorphisms into a local algebra , satisfying various…