Classification of automorphisms on a deformation family of hyper-Kähler four-folds by \(p\)-elementary lattices

DOI10.1215/21562261-3600139zbMath1375.14143arXiv1402.5154OpenAlexW1568431513MaRDI QIDQ318148

Chiara Camere, Alessandra Sarti, Samuel Boissière

Publication date: 4 October 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5154

zbMATH Keywords

classificationautomorphismsHilbert schemeirreducible holomorphic symplectic manifoldsspecial lattices

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Parametrization (Chow and Hilbert schemes) (14C05) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (22)

Automorphism groups of smooth cubic threefolds ⋮ Complex ball quotients from manifolds of \(K3^{[n}\)-type] ⋮ Non-symplectic involutions of irreducible symplectic manifolds of \(K3^{[n}\)-type] ⋮ ON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDS ⋮ Nonsymplectic automorphisms of prime order on O'Grady's sixfolds ⋮ Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ Induced automorphisms on irreducible symplectic manifolds: ⋮ Cubic threefolds and hyperkähler manifolds uniformized by the 10-dimensional complex ball ⋮ Symplectic involutions of K3[n$K3^{[n]}$ type and Kummer n$n$ type manifolds] ⋮ Symplectic birational transformations of finite order on O'Grady's sixfolds ⋮ A family of cubic fourfolds with finite-dimensional motive ⋮ Algebraic cycles on certain hyperkähler fourfolds with an order 3 non-symplectic automorphism II ⋮ Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties ⋮ Calabi–Yau Quotients of Hyperkähler Four-folds ⋮ Moduli Spaces of Cubic Threefolds and of Irreducible Holomorphic Symplectic Manifolds ⋮ Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type] ⋮ On the integral cohomology of quotients of manifolds by cyclic groups ⋮ Brane involutions on irreducible holomorphic symplectic manifolds ⋮ Automorphisms and periods of cubic fourfolds ⋮ On the non-symplectic involutions of the Hilbert square of a K3 surface ⋮ Some algebraic and geometric properties of hyper-Kähler fourfold symmetries ⋮ NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF -TYPE

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