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Automorphism groups of positive entropy on minimal projective varieties

By De-Qi Zhang

Abstract

AbstractWe 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’

Publisher: Elsevier Inc.
Year: 2010
DOI identifier: 10.1016/j.aim.2010.04.022
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