The Valuative Theory of Foliations
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
We describe the valuations following infinitely near singular points of a (singular) holomorphic foliation in the complex plane. They appear to be those satisfying a generalization of L'Hopital's rule. With them, we characterize dicritical vector fields, generic simple singularities, the existence of non- convergent solutions, etc. The construction is generalizable to dimension n.
Keywords
Cite
@article{arxiv.math/0103123,
title = {The Valuative Theory of Foliations},
author = {Pedro Fortuny Ayuso},
journal= {arXiv preprint arXiv:math/0103123},
year = {2007}
}
Comments
16 pages, uses package: diagram.tex