Automorphisms of hyperkähler manifolds in the view of topological entropy

Details Automorphisms of hyperkähler manifolds in the view of topological entropy Automorphisms of hyperkähler manifolds in the view of topological entropy

2004-07-28

arxiv.org/abs/math/0407476v5

Mathematics

Algebraic Geometry

14 pages, important references are added. Two questions and relevant parts are moved because either they are known or solved b

Scientific paper

First we show that any group of automorphisms of null-entropy of a projective
hyperk\"ahler manifold $M$ is almost abelian of rank at most $\rho(M) - 2$. We
then characterize automorphisms of a K3 surface with null-entropy and those
with positive entropy in algebro-geometric terms. We also give an example of a
group of automorphisms which is not almost abelian in each dimension.

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