On symplectic automorphisms of hyper-Kähler fourfolds of \(K3^{[2]}\) type

DOI10.1307/mmj/1378757887zbMath1282.14064arXiv1112.5073OpenAlexW1998974477MaRDI QIDQ376666

Giovanni Mongardi

Publication date: 19 November 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5073

zbMATH Keywords

hyperkähler manifolds\(K3\)holomorphic symplectic structuresymplectic automorphism

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (14)

Towards a classification of symplectic automorphisms on manifolds of \(K3^{[n}\) type] ⋮ CLASSIFICATION OF POLARIZED SYMPLECTIC AUTOMORPHISMS OF FANO VARIETIES OF CUBIC FOURFOLDS ⋮ Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ The global moduli theory of symplectic varieties ⋮ On the liftability of the automorphism group of smooth hypersurfaces of the projective space ⋮ Symplectic birational transformations of finite order on O'Grady's sixfolds ⋮ A survey of finite groups of symplectic automorphisms ofK3 surfaces ⋮ Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties ⋮ On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four ⋮ Global Torelli theorem for irreducible symplectic orbifolds ⋮ On the integral cohomology of quotients of manifolds by cyclic groups ⋮ Finite groups of symplectic automorphisms of hyperkahler manifolds of type K3 ⋮ Algebraic cycles and very special cubic fourfolds ⋮ Automorphisms and periods of cubic fourfolds

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