Model theory, differential algebra and functional transcendence
Logic
2025-12-02 v1
Abstract
The goal of this text is to exhibit some of the ideas and methods from geometric model theory, translated to the particular context of differentially closed fields, exhibiting in a more or less self-contained way the tools needed for the recent proof of Freitag, Jaoui and Moosa on functional transcendence and their so-called C-property, which serves as a leitmotif for the presentation.
Cite
@article{arxiv.2512.01866,
title = {Model theory, differential algebra and functional transcendence},
author = {Amador Martin-Pizarro},
journal= {arXiv preprint arXiv:2512.01866},
year = {2025}
}
Comments
To appear in Ast\'erisque