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arXiv · 2512.01866

Model theory, differential algebra and functional transcendence

Amador Martin-Pizarro
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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$_2$-property, which serves as a leitmotif for the presentation.

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Amador Martin-Pizarro. 2025-12-01. Model theory, differential algebra and functional transcendence. https://arxiv.org/abs/2512.01866

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