2-elementary subgroups of the space Cremona group

TL;DR

This paper establishes a precise upper limit on the size of elementary abelian 2-groups acting as birational automorphisms on rationally connected threefolds, advancing understanding of their symmetry structures.

Contribution

It provides a sharp bound for the orders of elementary abelian 2-groups within the space Cremona group acting on rationally connected threefolds.

Findings

Derived a sharp bound for elementary abelian 2-group orders

Characterized the structure of 2-elementary subgroups in the Cremona group

Enhanced understanding of automorphism groups of rationally connected threefolds

Abstract

We give a sharp bound for orders of elementary abelian 2-groups of birational automorphisms of rationally connected threefolds.