8 citations · 18 across the 7 of their papers we have counts for
9 papers
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…
Differentially Large Fields
Omar León Sánchez, Marcus Tressl
We introduce the notion of differential largeness for fields equipped with several commuting derivations (as an analogue to largeness of fields). We lay out the foundations of this…
Differential Weil Descent and Differentially Large Fields
Omar León Sánchez, Marcus Tressl
A differential version of the classical Weil descent is established in all characteristics. It yields a theory of differential restriction of scalars for differential varieties ove…
On the Dixmier-Moeglin equivalence for Poisson-Hopf algebra
Stéphane Launois, Omar León Sánchez
We prove that the Poisson version of the Dixmier-Moeglin equivalence holds for cocommutative affine Poisson-Hopf algebras. This is a first step towards understanding the symplectic…
On bounds for the effective differential Nullstellensatz
Omar León Sánchez, Alexey Ovchinnikov
Understanding bounds for the effective differential Nullstellensatz is a central problem in differential algebraic geometry. Recently, several bounds have been obtained using Dicks…
Poisson algebras via model theory and differential-algebraic geometry
Jason Bell, Stéphane Launois, Omar León Sánchez +1
Brown and Gordon asked whether the Poisson Dixmier-Moeglin equivalence holds for any complex affine Poisson algebra; that is, whether the sets of Poisson rational ideals, Poisson p…