Real Liouvillian extensions of partial differential fields

DOI10.3842/SIGMA.2021.095zbMath1491.12004arXiv2104.09548OpenAlexW3208166247MaRDI QIDQ2666000

Rouzbeh Mohseni, Teresa Crespo, Zbigniew Hajto

Publication date: 22 November 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09548

zbMATH Keywords

integrabilitygradient dynamical systemssplit solvable algebraic groupreal and \(p\)-adic Picard-Vessiot theoryreal Liouvillan extension

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential algebra (12H05)

Related Items (1)

On the differential transcendentality of the Morita \(p\)-adic gamma function

Cites Work

• Galois correspondence theorem for Picard-Vessiot extensions
• Real and \(p\)-adic Picard-Vessiot fields
• Parameterized Picard-Vessiot extensions and Atiyah extensions
• Lectures on formally real fields
• Formally \(p\)-adic fields
• Real Liouville functions
• Picard-Vessiot theory and the Jacobian problem
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• Picard-Vessiot Extensions of Real Differential Fields
• Analytical Properties for Degenerate Equations
• Interpretations and Differential Galois Extensions
• Arnold‐Thom Gradient Conjecture for the Arrival Time
• Real Liouville Extensions
• DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY
• Picard-Vessiot Theory of Partial Differential Fields
• Proof of the gradient conjecture of R. Thom.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Real Liouvillian extensions of partial differential fields