A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic (with an appendix by Tomohide Terasoma)

TL;DR

This paper proves a Tits-type theorem for automorphism groups of projective varieties over algebraically closed fields of any characteristic, confirming a conjecture initially posed for complex varieties.

Contribution

It establishes a Tits-type theorem for automorphism groups of projective varieties in arbitrary characteristic, extending previous conjectures.

Findings

Proves a Tits-type theorem for automorphism groups in arbitrary characteristic

Confirms a conjecture by Keum, Oguiso, and Zhang for complex varieties

Extends the understanding of automorphism groups beyond characteristic zero

Abstract

We prove a theorem of Tits type for automorphism groups of projective varieties over an algebraically closed field of arbitrary characteristic, which was first conjectured by Keum, Oguiso and Zhang for complex projective varieties.