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Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers: a dynamical viewpoint
Let X be a projective surface or a hyperkähler manifold and G ⩽ Aut ( X ) . We give a necessary and sufficient condition for the existence of a non-trivial G-equivariant fibration on X. We also show that two automorphisms g i of positive entropy and polarized by the …