A brief survey on local holomorphic dynamics in higher dimensions

TL;DR

This paper surveys local holomorphic dynamics in higher dimensions, organizing the material by local invariants rather than map types, providing a structured overview of the field.

Contribution

It introduces a novel organization of the survey based on the level of local invariants, offering a new perspective in the study of holomorphic dynamics.

Findings

Provides a structured overview of local holomorphic dynamics in higher dimensions.

Organizes material by local invariants instead of map types.

Highlights key concepts and invariants in the field.

Abstract

We give a brief survey on local holomorphic dynamics in higher dimensions. The main novelty of this note is that we will organize the material by the "level" of local invariants rather than the type of maps.