Algebraic Toric Quasifolds

TL;DR

This paper explores the algebraic geometric perspective of symplectic and complex toric quasifolds, which extend toric manifolds and orbifolds to nonrational cases.

Contribution

It provides a new algebraic geometric framework for understanding symplectic and complex toric quasifolds, broadening their theoretical foundation.

Findings

Reformulation of toric quasifolds in algebraic geometric terms

Extension of toric structures to nonrational cases

Enhanced understanding of the geometric properties of quasifolds

Abstract

Symplectic and complex toric quasifolds are a generalization of toric manifolds and orbifolds to the nonrational case. In this paper, we reframe these notions from the viewpoint of algebraic geometry.