CLASSIFICATION OF POLARIZED SYMPLECTIC AUTOMORPHISMS OF FANO VARIETIES OF CUBIC FOURFOLDS

DOI10.1017/S001708951500004XzbMath1393.14042arXiv1303.2241MaRDI QIDQ3461909

Lie Fu

Publication date: 18 January 2016

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

Full work available at URL: https://arxiv.org/abs/1303.2241

zbMATH Keywords

automorphismFano varietycubic fourfoldsymplectic projective manifold

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (14)

Automorphism groups of smooth cubic threefolds ⋮ On Voisin's conjecture for zero-cycles on hyperkaehler varieties ⋮ On Chow groups of some hyperkähler fourfolds with a non-symplectic involution. II ⋮ On abelian automorphism groups of hypersurfaces ⋮ On the Chow groups of certain cubic fourfolds ⋮ Landau-Ginzburg orbifolds and symmetries of \(K3\) CFTs ⋮ On the liftability of the automorphism group of smooth hypersurfaces of the projective space ⋮ Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties ⋮ On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four ⋮ Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type] ⋮ Motives of moduli spaces on \(K3\) surfaces and of special cubic fourfolds ⋮ Finite groups of symplectic automorphisms of hyperkahler manifolds of type K3 ⋮ Automorphisms and periods of cubic fourfolds ⋮ Cubic fourfolds with an involution

Cites Work

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• On symplectic automorphisms of hyper-Kähler fourfolds of \(K3^{[2}\) type]
• Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
• Automorphisms of prime order of smooth cubic \(n\)-folds
• Variétés kähleriennes dont la première classe de Chern est nulle
• Automorphisms of Fermat-like varieties
• A note on automorphisms and birational transformations of holomorphic symplectic manifolds
• Automorphismes naturels de l'espace de Douady de points sur une surface
• Symplectic involutions of holomorphic symplectic four-folds
• Antisymplectic involutions of holomorphic symplectic manifolds
• The Lefschetz-Riemann-Roch formula
• Deformation theory of singular symplectic \(n\)-folds

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