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math.LO2026
On definable Galois theory and definable Galois cohomology in the totally transcendental setting
David Meretzky
This paper gives results which relate the definable Galois theory of [28] to the definable Galois cohomology of [18] in the setting of a totally transcendental first order theory.…
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…