On Local Weyl Equivalence of Higher Order Fuchsian Equations

Shira Tanny, Sergei Yakovenko*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the local classification of higher order Fuchsian linear differential equations under various refinements of the classical notion of the “type of differential equation” introduced by Frobenius. The main source of difficulties is the fact that there is no natural group action generating this classification. We establish a number of results on higher order equations which are similar but not completely parallel to the known results on local (holomorphic and meromorphic) gauge equivalence of systems of first order equations.

Original languageEnglish
Pages (from-to)141-170
Number of pages30
JournalArnold Mathematical Journal
Issue number2
StatePublished - 1 Jul 2015
Externally publishedYes


  • Fuchsian singularity
  • Gauge classification
  • Resonance
  • Weyl algebra


Dive into the research topics of 'On Local Weyl Equivalence of Higher Order Fuchsian Equations'. Together they form a unique fingerprint.

Cite this