The index of a threefold canonical singularity

TL;DR

This paper establishes an upper bound of 6 on the index of threefold canonical singularities at crepant centers, contributing to the classification of such singularities in algebraic geometry.

Contribution

It provides a new upper bound for the index of 3-fold canonical singularities at crepant centers, advancing understanding of their structure.

Findings

Index of 3-fold canonical singularity at crepant centre is at most 6

Provides bounds that aid in classification of singularities

Enhances theoretical understanding of singularity indices

Abstract

The index of a 3-fold canonical singularity at a crepant centre is at most 6.