Liftable vector fields, unfoldings and augmentations
Complex Variables
2016-10-26 v1 Algebraic Geometry
Abstract
We study liftable vector fields of smooth map-germs. We show how to obtain the module of liftable vector fields of any map-germ of finite singularity type from the module of liftable vector fields of a stable unfolding of it. As an application, we obtain the liftable vector fields for the family in Mond's list. We then show the relation between the liftable vector fields of a stable germ and its augmentations.
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Cite
@article{arxiv.1610.07335,
title = {Liftable vector fields, unfoldings and augmentations},
author = {Juan José Nuño Ballesteros and Raúl Oset Sinha},
journal= {arXiv preprint arXiv:1610.07335},
year = {2016}
}
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12 pages