Automorphism groups of positive entropy on minimal projective varieties

作者：Zhang De Qi^*

来源：Advances in Mathematics, 2010, 225(5): 2332-2340.

DOI：10.1016/j.aim.2010.04.022

• Automorphism group
• Topological entropy
• Calabi-Yau variety

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'.

• 出版日期2010-12-1