The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

DOI10.1016/j.matpur.2017.05.005zbMath1430.12009arXiv1610.09548OpenAlexW2963903765MaRDI QIDQ1679729

Anand Pillay

Publication date: 22 November 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09548

zbMATH Keywords

Galois cohomologyPicard-Vessiot extensionlinear differential algebraic groupsdifferentially closed fieldsstrongly normal extensions

Mathematics Subject Classification ID

Galois cohomology (12G05) Differential algebra (12H05) Classification theory, stability, and related concepts in model theory (03C45) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (5)

Torsors for difference algebraic groups ⋮ Generalized Picard-Vessiot extensions and differential Galois cohomology ⋮ Difference sheaves and torsors ⋮ Triviality of differential Galois cohomology of linear differential algebraic groups ⋮ Differential Galois cohomology and parameterized Picard–Vessiot extensions

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