Algebraic varieties with automorphism groups of maximal rank

Abstract

We confirm, to some extent, the belief that a projective variety X has the largest number (relative to the dimension of X) of independent commuting automorphisms of positive entropy only when X is birational to a complex torus or a quotient of a torus. We also include an addendum to an early paper though it is not used in the present paper.

Mathematische Annalen (to appear)

References in corpus (1)

• Holomorphic actions of higher rank lattices in dimension three

Cited by in corpus (1)

• Tits alternative for automorphism groups of compact Kaehler manifolds