3 papers
math.LO2026
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…
math.LO2026
Galois theory, automorphism groups of prime models, and the Picard-Vessiot closure
David Meretzky, Anand Pillay
We work in the context of a complete totally transcendental theory . We consider the prime model over a set . For intermediate sets with $A\subseteq B \s…
math.LO2026
The short exact sequence in definable Galois cohomology
David Meretzky
In Remarks on Galois Cohomology and Definability [2], Pillay introduced definable Galois cohomology, a model-theoretic generalization of Galois cohomology. Let be an atomic and…