4 papers · 1 filter
Parameterized D-torsors in differential Galois theory
Omar León Sánchez, David Meretzky
In the context of differential fields of characteristic zero with several commuting derivations, we discuss the notion of -differential equations on parameterized D-torsors and…
On the number of independent solutions of algebraic differential equations
James Freitag, Omar León Sánchez, Wei Li +1
We prove a conjecture of Kumbhakar, Roy, and Srinivasan (2024) on the classification of order one differential equations, and a conjecture of Kumbhakar and Srinivasan (2025) on hig…
Forking independence in differentially closed fields of positive characteristic
Piotr Kowalski, Omar León Sánchez, Amador Martin-Pizarro
We provide a differential-algebraic description of forking independence in the stable theory DCF of differentially closed fields of characteristic with -many commu…
Model theory of differential fields with finite group actions
Daniel Max Hoffmann, Omar León Sánchez
Let G be a finite group. We explore the model theoretic properties of the class of differential fields of characteristic zero in m commuting derivations equipped with a G-action by…