Polynomial reformulation of the Kuo criteria for v-sufficiency of map-germs
Polynomial reformulation of the Kuo criteria for v-sufficiency of map-germs
复制标题
地图细菌 v 充分性的 Kuo 准则的多项式重新表述
DOI：
10.3934/dcdsb.2010.14.587
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发表时间：
2009
期刊：
影响因子：
7.1
通讯作者：
V. Kozyakin
中科院分区：
文献类型：
--
作者：
V. Kozyakin
本文给出了的一组充要条件
In the paper a set of necessary and sufficient conditions for
v-sufficiency (equiv. sv-sufficiency) of jets
of map-germs $f:(\mathbb{R}^{n},0)\to (\mathbb{R}^{m},0)$ is
proved which generalize both the Kuiper-Kuo and the Thom
conditions in the function case ($m=1$) so as the Kuo
conditions in the general map case ($m>1$). Contrary to the Kuo
conditions the conditions proved in the paper do not require to
verify any inequalities in a so-called horn-neighborhood of the
(a'priori unknown) set $f^{-1}(0)$. Instead, the proposed
conditions reduce the problem on v-sufficiency of jets
to evaluating the local Łojasiewicz exponents for some
constructively built polynomial functions.
DOI：
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发表时间：
2007
期刊：
Proc. Trieste Singularity Summer School and Workshop (ICTP, Trieste, 2005) ed. J-P.Brasselet et.al., World Scientific
影响因子：
--
作者：
A. A. Davydov;G. Ishikawa;S. Izumiya;W.-Z. Sun;G. Ishikawa;大本 亨;S. Yokura;G. Ishikawa;G. Ishikawa;T. Akita;T. Akita;T. Suwa;T. Ohmoto;T. Suwa
通讯作者：
T. Suwa
关于 Lojasiewicz 指数和牛顿多面体
DOI：
--
发表时间：
--
期刊：
Kodai Math.J. (to appear)
影响因子：
--
作者：
Y.Hagiwara;T.Mizutani;M.Nagase;T.Fukui
通讯作者：
T.Fukui