Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Klimeš, Martin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210604
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity. Martin Klimeš. SIGMA 16 (2020), 006, 46 pages

We give a complete classification of analytic equivalence of germs of parametric families of systems of complex linear differential equations unfolding a generic resonant singularity of Poincaré rank 1 in dimension n=2 whose leading matrix is a Jordan bloc. The moduli space of analytic equivalence c...