The embeddings of the Heisenberg group into the Cremona group

TL;DR

This paper explores how the Heisenberg group can be embedded into the Cremona group, providing insights into their algebraic and geometric relationships.

Contribution

It introduces explicit embeddings of the Heisenberg group into the Cremona group, advancing understanding of their structural connections.

Findings

Explicit embeddings constructed

Enhanced understanding of algebraic group actions

Potential applications in algebraic geometry

Abstract

In this note we describe the embeddings of the Heisenberg group into the Cremona group.