Modules formels locaux de feuilletages holomorphes
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
We give a complete list of formal invariants for a large class of formal differential 1-forms . \indent A -equisingular deformation is an equireducible deformation which leaves invariant both the local formal types and the holonomy representation of the components of the exceptional divisor. We characterize the 1-forms with finite formal type (t.f.f), i.e. those which admit a semi-universal -equisingular deformation, and we give an explicit combinatorial criterion of finiteness. \indent The set of 1-forms with finite formal type contains a dense open set (in the sense of Krull's topology)in the set of 1-forms of the second kind.
Keywords
Cite
@article{arxiv.math/0402256,
title = {Modules formels locaux de feuilletages holomorphes},
author = {Jean-Francois Mattei and Eliane Salem},
journal= {arXiv preprint arXiv:math/0402256},
year = {2007}
}
Comments
89 pages, french