A Nullstellensatz for \L ojasiewicz ideals

Autor:	Acquistapace, Francesca, Broglia, Fabrizio, Nicoara, Andreea
Rok vydání:	2012
Předmět:	Mathematics - Algebraic Geometry 26E05 26E10 46E25 (Primary) 11E25 32C05 14P15 (Secondary)
Zdroj:	Rev. Mat. Iberoam. 30 (2014), no. 4, 1479-1487
Druh dokumentu:	Working Paper
DOI:	10.4171/RMI/822
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.2504 Zobrazit plný text záznamu View this record from Arxiv