Shokurov's index conjecture for quotient singularities

TL;DR

This paper proves Shokurov's index conjecture specifically for quotient singularities, advancing understanding in algebraic geometry and singularity theory.

Contribution

The paper provides a proof of Shokurov's index conjecture in the case of quotient singularities, a previously unresolved case.

Findings

Confirmed Shokurov's index conjecture for quotient singularities

Established new techniques for analyzing quotient singularities

Contributed to the classification of singularities in algebraic geometry

Abstract

We prove Shokurov's index conjecture for quotient singularities.