Non-cycle triple planes with branch curve of degree at most 10

TL;DR

This paper classifies certain non-cyclic triple covers of the projective plane with branch curves of degree up to 10, expanding understanding of their geometric structure.

Contribution

It provides a classification of normal non-cyclic triple covers of the projective plane with bounded branch curve degree, a new result in algebraic geometry.

Findings

Complete classification for branch degree ≤ 10

Identification of geometric properties of these covers

Extension of known classifications to new cases

Abstract

In this paper we classify normal non--cyclic triple covers of $\bbP^2$ with branch curve of degree at most 10.