Supplement to classification of three-fold divisorial contractions

TL;DR

This paper discusses the classification of three-fold divisorial contractions, emphasizing that all such contractions to non-Gorenstein points are weighted blow-ups, contributing to the understanding of their structure.

Contribution

It provides a classification result showing that all three-fold divisorial contractions to non-Gorenstein points are weighted blow-ups, clarifying their nature.

Findings

All three-fold divisorial contractions to non-Gorenstein points are weighted blow-ups.

The classification simplifies understanding of these contractions.

Supports the broader classification theory in algebraic geometry.

Abstract

Every three-fold divisorial contraction to a non-Gorenstein point is a weighted blow-up.