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Construction of automorphisms of hyperkähler manifolds

par Amerik, Ekaterina;Verbitskiy, Misha
Référence Compositio mathematica, 153, 8, page (1610-1621)
Publication Publié, 2017-08

Article révisé par les pairs

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Résumé :

Let be an irreducible holomorphic symplectic (hyperkähler) manifold. If, we construct a deformation of which admits a symplectic automorphism of infinite order. This automorphism is hyperbolic, that is, its action on the space of real -classes is hyperbolic. If , similarly, we construct a deformation which admits a parabolic automorphism (and many other automorphisms as well).