Topology of complex plane curves: braid monodromy, local and global problems

TL;DR

This paper explores the topological properties of complex plane curves, focusing on their embeddings and braid monodromy, highlighting both local and global aspects and their historical development.

Contribution

It provides a comprehensive analysis of the topology of complex plane curves, emphasizing braid monodromy and the evolution of the field.

Findings

Analysis of local and global embedding properties

Insights into braid monodromy of complex curves

Historical perspective on topological methods

Abstract

The embeddings of complex plane projective curves in the plane are a cornerstone of the topological study of algebraic varieties. In this work, we deal with the local and global aspects of these embeddings, with a special attention to its historical progress.