Eggers decomposition of polar curves in positive characteristic
Ana Belén de Felipe, Evelia R. García Barroso, Janusz Gwoździewicz
公開日: 2025/9/28
Abstract
Let $f$ be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read from the Eggers-Wall tree of $f$, for $\frac{\partial f}{\partial y}$ to admit Eggers decomposition.