Automorphism groups of positive entropy on minimal projective varieties

Abstract

We determine the geometric structure of a minimal projective threefold having two `independent and commutative' automorphisms of positive topological entropy, and generalize this result to higher-dimensional smooth minimal pairs (X, G). As a consequence, we give an effective lower bound for the first dynamical degree of these automorphisms of X fitting the `boundary case'.

Advances in Mathematics (to appear); 11 pages

References in corpus (1)

• Solvable automorphism groups of a compact Kaehler manifold