Noncommutative resolution of toric singularities: An application of Frobenius morphism of noncommutative blowup

TL;DR

This paper demonstrates that all normal toric singularities can be resolved using noncommutative methods involving Frobenius morphisms, providing a new approach to singularity resolution.

Contribution

It introduces a novel application of Frobenius morphisms in noncommutative blowups to achieve resolutions of toric singularities.

Findings

Every normal toric singularity admits a standard noncommutative resolution.

The method leverages Frobenius morphisms in noncommutative blowups.

The approach offers a new perspective on resolving singularities in algebraic geometry.

Abstract

Using Frobenius morphisms of noncommutative blowups, we prove that every normal toric singularity has a standard noncommutative resolution.