Automorphism groups of positive entropy on minimal projective varieties

Details Automorphism groups of positive entropy on minimal projective varieties Automorphism groups of positive entropy on minimal projective varieties

2010-04-27

arxiv.org/abs/1004.4781v1

Mathematics

Algebraic Geometry

Advances in Mathematics (to appear); 11 pages

Scientific paper

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'.

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