Arcs, Cords and Felts - Six instances of the Linearization Principle
Algebraic Geometry
2010-06-29 v1 Commutative Algebra
Combinatorics
Complex Variables
Abstract
It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.
Keywords
Cite
@article{arxiv.1006.5295,
title = {Arcs, Cords and Felts - Six instances of the Linearization Principle},
author = {Clemens Bruschek and Herwig Hauser},
journal= {arXiv preprint arXiv:1006.5295},
year = {2010}
}
Comments
to be published in "The American Journal of Mathematics"