zbMATH — the first resource for mathematics

Problèmes de modules pour les formes différentielles singulières dans le plan complexe. (Moduli problems for singular differential forms in the complex plane). (French) Zbl 0604.58004
Consider Pfaffian equations \(\omega =a(x,y)dx+b(x,y)dy\) where the functions a and b are holomorphic in the origin of \({\mathbb{C}}^ 2\). Under generic assumptions on the first significant jet of \(\omega\), the authors describe the space of moduli for Pfaffian equations of small order. Some problems of rigidity and topological invariance of projective holonomy are also studied.
Reviewer: A.D.Mednykh

58A17 Pfaffian systems
58A20 Jets in global analysis
32S05 Local complex singularities
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
Full Text: DOI EuDML