Indecomposability of branched coverings of even degree on the projective plane

TL;DR

This paper characterizes which branch data of even degree branched coverings over the projective plane can be realized by indecomposable coverings, advancing understanding of their structural properties.

Contribution

It provides a characterization of realizable branch data for indecomposable branched coverings of even degree on the projective plane.

Findings

Identifies conditions for realizability of branch data

Classifies indecomposable coverings based on branch data

Advances the theory of branched coverings on the projective plane

Abstract

In this work we characterize branch data of branched coverings of even degree over the projective plane which are realizable by indecomposable branched coverings.