Arithmetic differential equations on \(\mathrm{GL}_n\). II: Arithmetic Lie-Cartan theory

DOI10.1007/s00029-015-0194-xzbMath1348.11035OpenAlexW2318862672MaRDI QIDQ268154

Taylor Dupuy, Alexandru Buium

Publication date: 14 April 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-015-0194-x

zbMATH Keywords

symmetric spacesclassical groupsarithmetic differential equationslifts of Frobenius

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Differential geometry of symmetric spaces (53C35) Differential algebra (12H05) Classical groups (11E57)

Related Items

Arithmetic differential equations on \(\mathrm{GL}_n\). III: Galois groups, Curvature on the integers. I., Curvature on the integers. II., Lie invariant Frobenius lifts, Arithmetic Levi-Cività connection, Arithmetic Euler top, Differential modular forms over totally real fields of integral weights, Arithmetic differential equations on \(\mathrm{GL}_{n}\). I: Differential cocycles

Cites Work

• Arithmetic differential equations on \(\mathrm{GL}_{n}\). I: Differential cocycles
• Arithmetic differential equations on \(\mathrm{GL}_n\). III: Galois groups
• The first \(p\)-jet space of an elliptic curve: global functions and lifts of Frobenius
• On Hessian Riemannian structures
• Galois theory of difference equations
• Differential characters of abelian varieties over \(p\)-adic fields
• Geometry of Differential Polynomial Functions, I: Algebraic Groups
• Differential modular forms
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