Global smoothing of a subanalytic set
Complex Variables
2018-11-14 v2 Algebraic Geometry
Abstract
We give rather simple answers to two long-standing questions in real-analytic geometry, on global smoothing of a subanalytic set, and on transformation of a proper real-analytic mapping to a mapping with equidimensional fibres by global blowings-up of the target. These questions are related: a positive answer to the second can be used to reduce the first to the simpler semianalytic case. We show that the second question has a negative answer, in general, and that the first problem nevertheless has a positive solution.
Keywords
Cite
@article{arxiv.1705.06331,
title = {Global smoothing of a subanalytic set},
author = {Edward Bierstone and Adam Parusinski},
journal= {arXiv preprint arXiv:1705.06331},
year = {2018}
}
Comments
11 pages, to appear in Duke Math. J