1 citations · 1 across the 4 of their papers we have counts for
7 papers
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This paper has been withdrawn by the authors due to an error in Section 7.
Motivic-type Invariants of Blow-analytic Equivalence
Satoshi Koike, Adam Parusinski
To a given analytic function germ , we associate zeta functions , , defined analogously to the motivic…
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…
Topology of Injective Endomorphisms of Real Algebraic Sets
Adam Parusinski
Using only basic topological properties of real algebraic sets and regular morphisms we show that any injective regular self-mapping of a real algebraic set is surjective. Then we…
Proof of the gradient conjecture of R. Thom
Krzysztof Kurdyka, Tadeusz Mostowski, Adam Parusinski
Let x(t) be a trajectory of the gradient of a real analytic function and suppose that x_0 is a limit point of x(t). We prove the gradient conjecture of R. Thom which states that th…
Characteristic Classes of Hypersurfaces and Characteristic Cycles
Adam Parusinski, Piotr Pragacz
We give a new formula for the Chern-Schwartz-MacPherson class of a hypersurface in a nonsigular compact complex analytic variety. In particular this formula generalizes our previou…