T. Kuo

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math.AG2005

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This paper has been withdrawn by the authors due to an error in Section 7.

math.AG2005

Equisingularity in $R^{2}$ As Morse Stability

Tzee-Char Kuo, Laurentiu Paunescu

Two seemingly unrelated problems are intimately connected. The first is the equsingularity problem in $R^{2}$ : For an analytic family $f_t:(\R^2,0)\rar (\R,0)$, when should it be ca…

math.AG2002

Newton-Puiseux Roots of Jacobian Determinants

Tzee-Char Kuo, Adam Parusinski

Let $f (x, y), g (x, y)$ denote either a pair of holomorphic function germs, or a pair of monic polynomials in $x$ whose coefficients are Laurent series in $y$ . A relative polar arc is…

A Proof of the Plane Jacobian Conjecture

Equisingularity in R2 As Morse Stability

Newton-Puiseux Roots of Jacobian Determinants

Equisingularity in $R^{2}$ As Morse Stability