3 papers
math.AG2020
On the relative Kuo condition and the second relative Kuo condition
Karim Bekka, Satoshi Koike
The Kuo condition and the the second Kuo condition are known as criteria for an r-jet to be V-sufficient in C^r mappings and C^{r+1} mappings, respectively. In a previous paper we…
math.AG2020
Equivalence of Kuo and Thom quantities for analytic functions
Karim Bekka, Satoshi Koike
Sufficiency of jets is a very important notion introduced by Rene Thom in order to establish the structural stability theory. The criteria for some sufficiency of jets are known as…
math.AG2012
Briançon-Speder examples and the failure of weak Whitney regularity
Karim Bekka, David Trotman
It is easy to find real algebraic varieties with weakly Whitney regular stratifications which are not Whitney regular, and we give such an example in section 3 below. No examples a…