The differential Galois group of the rational function field
DOI10.1016/j.aim.2021.107605zbMath1461.12003arXiv2004.05906OpenAlexW3124793646MaRDI QIDQ2656122
David Harbater, Annette Bachmayr, Michael Wibmer, Julia Hartmann
Publication date: 10 March 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05906
linear algebraic groupsembedding problemsdifferential algebraPicard-Vessiot theoryproalgebraic groupsinverse differential Galois problem
Inverse Galois theory (12F12) Differential algebra (12H05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Group schemes (14L15)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Patching over fields
- A Hopf algebraic approach to the Picard-Vessiot theory
- Cohomology of unipotent and prounipotent groups
- Differential embedding problems over complex function fields
- Differential embedding problems over Laurent series fields
- The proalgebraic completion of rigid groups.
- Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture
- Difference Galois theory of linear differential equations
- The inverse problem in the Galois theory of differential fields
- On solvable extensions of algebraic number fields
- Hopf Algebraic Approach to Picard-Vessiot Theory
- Free differential Galois groups
- Local-global principles for torsors over arithmetic curves
- Solution of the Inverse Problem of Differential Galois Theory in the Classical Case
- Galois Groups and Fundamental Groups
This page was built for publication: The differential Galois group of the rational function field
