Download or read book Desingularization of Nilpotent Singularities in Families of Planar Vector Fields written by Daniel Panazzolo and published by American Mathematical Soc.. This book was released on 2002 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of singular perturbations and finite cyclicity are discussed in the last chapter.