p-elementary subgroups of the Cremona group of rank 3

Abstract

For the subgroups of the Cremona group ${\mathrm{Cr}}_3(\mathbb{C})$ having the form $({\mathbf{\mu }}_p{)}^s$, where $p$ is prime, we obtain an upper bound for $s$. Our bound is sharp if $p\ge 17$.

LATeX, 12 pages, Lemma 2.4 is corrected

References in corpus (1)

• Simple finite subgroups of the Cremona group of rank 3

Cited by in corpus (3)

• Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
• On G-Fano threefolds
• G-Fano threefolds, I