6 papers
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.…
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…
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…
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…
Picard-Vessiot extensions, linear differential algebraic groups and their torsors
David Meretzky, Anand Pillay
Let K be differential field with algebraically closed field of constants. Let K^diff be a differential closure of K, and L the (iterated) Picard-Vessiot closure of K inside K^diff.…
More on Galois cohomology, definability and differential algebraic groups
Omar Leon Sanchez, David Meretzky, Anand Pillay
We make further observations on the features of Galois cohomology in the general model theoretic context. We make explicit the connection between forms of definable groups and firs…