Back to Search
Start Over
A Nullstellensatz for \L ojasiewicz ideals
- Source :
- Rev. Mat. Iberoam. 30 (2014), no. 4, 1479-1487
- Publication Year :
- 2012
-
Abstract
- For an ideal of smooth functions that is either {\L}ojasiewicz or weakly {\L}ojasiewicz, we give a complete characterization of the ideal of functions vanishing on its variety in terms of the global {\L}ojasiewicz radical and Whitney closure. We also prove that the {\L}ojasiewicz radical of such an ideal is analytic-like in the sense that its saturation equals its Whitney closure. This allows us to recover in a different way Nullstellensatz results due to Bochnak and Adkins-Leahy and answer positively a modification of the Nullstellensatz conjecture due to Bochnak.<br />Comment: 9 pages
Details
- Database :
- arXiv
- Journal :
- Rev. Mat. Iberoam. 30 (2014), no. 4, 1479-1487
- Publication Type :
- Report
- Accession number :
- edsarx.1210.2504
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.4171/RMI/822