On birational involutions of $P^3$

Abstract

Let $X$ be a rationally connected three-dimensional algebraic variety and let $\tau$ be an element of order two in the group of its birational selfmaps. Suppose that there exists a non-uniruled divisorial component of the $\tau$-fixed point locus. Using the equivariant minimal model program we give a rough classification of such elements.

24 pages, latex

References in corpus (1)

• Simple finite subgroups of the Cremona group of rank 3

Cited by in corpus (2)

• Singular Fano threefolds of genus 12
• 2-elementary subgroups of the space Cremona group