arXiv subjects

Romin Abdolahzadi

Publications and source records attributed to Romin Abdolahzadi.

2 recordsLinked to original sources

arXiv2021

A model theory section conjecture

We introduce the category of structures and interpretations which allows us to discuss some issues of Grothendieck's anabelian geometry in model-theory terms. Our main result is a formulation in terms of pure stability theory of a problem closely related to Grothendieck's section conjecture

math.LO↗

arXiv2020

Definability, interpretations and étale fundamental groups

The aim of the paper and of a wider project is to translate main notions of anabelian geometry into the language of model theory. Here we finish with giving the definition of the étale fundamental group $π^{et}_1(X,x)$ of a non-singular quasiprojective scheme over a field of characteristic 0.

math.LO↗