# Simplicial toric varieties as leaf spaces

## TL;DR

This paper explores the structure of simplicial toric varieties as leaf spaces of LVMB manifolds, offering a new perspective and a simplified Delzant construction with flexible, connected symmetry groups.

## Contribution

It introduces a novel variant of the Delzant construction allowing arbitrary high-dimensional, connected groups for symplectic reduction in the context of LVMB manifolds.

## Key findings

- New perspective on simplicial toric varieties as leaf spaces
- A simplified Delzant construction with flexible group choices
- Enhanced understanding of symplectic reduction in this setting

## Abstract

We present a summary of some results from our article [BZ1] and other recent results on the so-called LVMB manifolds. We emphasize some features by taking a different point of view. We present a simple variant of the Delzant construction, in which the group that is used to perform the symplectic reduction can be chosen of arbitrarily high dimension, and is always connected.