NO COHOMOLOGICALLY TRIVIAL NONTRIVIAL AUTOMORPHISM OF GENERALIZED KUMMER MANIFOLDS

DOI10.1017/nmj.2018.29zbMath1440.14197arXiv1208.3750OpenAlexW1867686062MaRDI QIDQ5116585

Keiji Oguiso

Publication date: 18 August 2020

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

Full work available at URL: https://arxiv.org/abs/1208.3750

Mathematics Subject Classification ID

Automorphisms of surfaces and higher-dimensional varieties (14J50) (n)-folds ((n>4)) (14J40) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items

Absolutely trianalytic tori in the generalized Kummer variety, Symplectic involutions of K3[n$K3^{[n]}$ type and Kummer n$n$ type manifolds], Sixfolds of generalized Kummer type and K3 surfaces, Birational automorphim groups of a generalized Kummer manifold for an abelian surface with Picard number 1, The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians, Prime order automorphisms of generalised Kummer fourfolds, On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces, Tautological classes on moduli spaces of hyper-Kähler manifolds, On the existence of universal families of marked irreducible holomorphic symplectic manifolds, Some algebraic and geometric properties of hyper-Kähler fourfold symmetries

Cites Work

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• On natural deformations of symplectic automorphisms of manifolds of \(K3^{[n}\) type]
• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
• Numerically trivial involutions of Kummer type of an Enriques surface
• Variétés kähleriennes dont la première classe de Chern est nulle
• Automorphisms of Enriques surfaces which act trivially on the cohomology groups
• The unirationality of certain elliptic surfaces in characteristic p
• On automorphisms of Enriques surfaces
• Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
• Hilbert schemes of zero-dimensional subschemes of smooth varieties
• Erratum to: Compact hyperkähler manifolds: basic results
• Symplectic involutions of holomorphic symplectic four-folds
• Hilbert schemes of K3 surfaces are dense in moduli
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• On the Torelli problem for kählerian $K-3$ surfaces
• On the Euler characteristic of generalized Kummer varieties
• Hodge theory and Lagrangian planes on generalized Kummer fourfolds