An explicit bound for complements on toric varieties

TL;DR

This paper establishes an explicit upper bound for the index of klt complements on toric Fano varieties, providing a concrete measure for their geometric properties.

Contribution

It introduces a new explicit bound for the index of klt complements specifically on toric Fano varieties, advancing understanding in algebraic geometry.

Findings

Derived an explicit upper bound for klt complements on toric Fano varieties

Enhanced the understanding of the structure of toric Fano varieties

Provided tools for further research in algebraic geometry

Abstract

We give an effective upper bound for the index of klt complements on toric Fano varieties.