Generalized Laurent monomials in nonrational toric geometry

TL;DR

This paper extends Laurent monomials to toric quasifolds, broadening the scope of nonrational toric geometry to include highly singular spaces beyond classical simplicial toric varieties.

Contribution

It introduces a generalization of Laurent monomials to the setting of toric quasifolds, expanding the tools available for nonrational toric geometry.

Findings

Defines Laurent monomials in the context of toric quasifolds

Extends the framework of nonrational toric varieties

Provides new methods for studying singular toric spaces

Abstract

We generalize Laurent monomials to toric quasifolds, a special class of highly singular spaces that extend simplicial toric varieties to the nonrational setting.