Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry

TL;DR

This paper introduces strong regular embeddings of Deligne-Mumford stacks, connecting them to generalized Euler sequences and hypertoric geometry, and explores their properties and applications.

Contribution

It defines the concept of strong regular embeddings for Deligne-Mumford stacks and relates them to key geometric structures like Euler sequences and hypertoric varieties.

Findings

Established the notion of strong regular embeddings.

Linked these embeddings to generalized Euler sequences.

Applied the concept to hypertoric geometry.

Abstract

We introduce the notion of strong regular embeddings of Deligne-Mumford stacks. These morphisms naturally arise in the related contexts of generalized Euler sequences and hypertoric geometry.