2 citations · 3 across the 5 of their papers we have counts for
5 papers
A'Campo curvature bumps and the Dirac phenomenon near a singular point
S. Koike, T-C. Kuo, L. Paunescu
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this pa…
Enriched Riemann Sphere, Morse Stability and Equi-singularity in
T. C. Kuo, L. Paunescu
The \textit{Enriched Riemann Sphere} $\C P_*^1$ is $\C P^1$ plus a set of \textit{infinitesimals}, having the Newton-Puiseux field $\F$ as coordinates. Complex Analysis is extended…
A Proof of the Plane Jacobian Conjecture
T. -C. Kuo, A. Parusinski, L. Paunescu
This paper has been withdrawn by the authors due to an error in Section 7.
Equisingularity in As Morse Stability
Tzee-Char Kuo, Laurentiu Paunescu
Two seemingly unrelated problems are intimately connected. The first is the equsingularity problem in : For an analytic family $f_t:(\R^2,0)\rar (\R,0)$, when should it be ca…
Newton-Puiseux Roots of Jacobian Determinants
Tzee-Char Kuo, Adam Parusinski
Let denote either a pair of holomorphic function germs, or a pair of monic polynomials in whose coefficients are Laurent series in . A relative polar arc is…