On the Weyl-Ahlfors theory of derived curves

TL;DR

This paper extends the classical Cartan-Nochka Second Main Theorem to derived curves intersecting decomposable hyperplanes in subgeneral position, broadening the scope of value distribution theory.

Contribution

It generalizes Fujimoto's result by establishing an analog of the Second Main Theorem for derived curves and decomposable hyperplanes in subgeneral position.

Findings

Established an analog of Cartan-Nochka Second Main Theorem for derived curves.

Extended Fujimoto's classical result to a broader setting.

Provided new insights into the intersection theory of derived curves and hyperplanes.

Abstract

For derived curves intersecting a family of decomposable hyperplanes in subgeneral position, we obtain an analog of Cartan-Nochka Second Main Theorem, generalizing a classical result of Fujimoto about decomposable hyperplanes in general position.