9 citations · 13 across the 4 of their papers we have counts for
4 papers
On the Łojasiewicz exponent, special direction and maximal polar quotient
Andrzej Lenarcik
For a local singular plane curve germ we characterize all nonsingular such that the Łojasiewicz exponent of $\grad\,f$ is not attained on the polar cur…
Polar Invariants of Plane Curve Singularities: Intersection Theoretical Approach
Janusz Gwoździewicz, Andrzej Lenarcik, Arkadiusz Płoski
This article, based on the talk given by one of the authors at the Pierrettefest in Castro Urdiales in June 2008, is an overview of a number of recent results on the polar invarian…
Characterization of non-degenerate plane curve singularities
Evelia R. García Barroso, Andrzej Lenarcik, Arkadiusz Płoski
We characterize plane curve germes non-degenerate in Kouchnirenko's sense in terms of characteristics and intersection multiplicities of branches.
On the Lojasiewicz exponent of the gradient of a polynomial function
Andrzej Lenarcik
Let h = \sum h_{αβ} X^αY^βbe a polynomial with complex coefficients. The Lojasiewicz exponent of the gradient of h at infinity is the upper bound of the set of all real λsuch that…