On the Łojasiewicz exponent, special direction and maximal polar quotient

Andrzej Lenarcik

For a local singular plane curve germ $f(X,Y)=0$ we characterize all nonsingular $\lambda \in \mathbb{C}\{X,Y\}$ such that the Łojasiewicz exponent of $\grad\,f$ is not attained on the polar cur…