On embeddings of Mori dream spaces

TL;DR

This paper provides criteria for embeddings of Mori dream spaces that satisfy specific combinatorial conditions, along with an explicit example illustrating these criteria.

Contribution

It introduces general criteria for embeddings of Mori dream spaces with desirable combinatorial properties and analyzes a concrete example.

Findings

Criteria for embeddings with combinatorial conditions

Explicit example of such an embedding

Insights into the structure of Mori dream spaces

Abstract

General criteria are given for when an embedding of a Mori dream space into another satisfies certain nice combinatorial conditions on some of their associated cones. An explicit example of such an embedding is studied.