On local Galois deformation rings: generalised reductive groups
Abstract
Abstract We study deformation theory of mod p Galois representations of p -adic fields with values in generalised reductive group schemes, such as L -groups and C -groups. We show that the corresponding deformation rings are complete intersections of expected dimension. We determine their irreducible components in many cases and show that they and their special fibres are normal and complete intersection.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Forum of Mathematics Pi
- Publisher
- Cambridge University Press (CUP)
- Volume
- 14
- Publication date
- 1 January 2026
- Language
- EN