Abstract
We introduce and give numerical characterizations of two notions of rigidity for a class of regular singular q-difference equations. A special attention is devoted to the generalized q-hypergeometric equations: we show their rigidity and we proceed with a detailed “monodromic” study of these equations.
Funding source: ANR
Award Identifier / Grant number: ANR-10-JCJC 0105
I would like to thank the Institut des Hautes Études Scientifiques for its support and hospitality.
Received: 2013-3-27
Revised: 2013-7-4
Published Online: 2013-8-20
Published in Print: 2015-9-1
© 2015 by De Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Frontmatter
- Cosmetic surgeries on knots in S3
- Integral points in two-parameter orbits
- Arithmetic moduli and lifting of Enriques surfaces
- Analytic varieties with finite volume amoebas are algebraic
- Vanishing resonance and representations of Lie algebras
- A new notion of angle between three points in a metric space
- Asymptotics of the Yang–Mills flow for holomorphic vector bundles over Kähler manifolds: The canonical structure of the limit
- An Oka principle for equivariant isomorphisms
- Birkhoff matrices, residues and rigidity for q-difference equations
Articles in the same Issue
- Frontmatter
- Cosmetic surgeries on knots in S3
- Integral points in two-parameter orbits
- Arithmetic moduli and lifting of Enriques surfaces
- Analytic varieties with finite volume amoebas are algebraic
- Vanishing resonance and representations of Lie algebras
- A new notion of angle between three points in a metric space
- Asymptotics of the Yang–Mills flow for holomorphic vector bundles over Kähler manifolds: The canonical structure of the limit
- An Oka principle for equivariant isomorphisms
- Birkhoff matrices, residues and rigidity for q-difference equations