# Classification of rationally elliptic toric orbifolds

## TL;DR

This paper classifies simply connected rationally elliptic compact toric orbifolds up to algebraic isomorphism, providing a comprehensive understanding of their structure within algebraic geometry.

## Contribution

It offers the first complete classification of such orbifolds, advancing the understanding of their algebraic and topological properties.

## Key findings

- Complete classification of simply connected rationally elliptic compact toric orbifolds.
- Identification of algebraic isomorphism classes among these orbifolds.
- Framework for distinguishing these orbifolds based on their algebraic structure.

## Abstract

In this note we classify simply connected rationally elliptic compact toric orbifolds up to algebraic isomorphism.