Nonsymplectic automorphisms of prime order on O'Grady's sixfolds

DOI10.4171/RMI/1341zbMath1505.14096arXiv2004.12694OpenAlexW3090048061WikidataQ114021383 ScholiaQ114021383MaRDI QIDQ2157359

Annalisa Grossi

Publication date: 27 July 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12694

zbMATH Keywords

irreducible holomorphic symplectic manifoldseffective nonsymplectic isometriesnonsymplectic automorphisms

Mathematics Subject Classification ID

Automorphisms of surfaces and higher-dimensional varieties (14J50) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (1)

Symplectic birational transformations of finite order on O'Grady's sixfolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-symplectic involutions of irreducible symplectic manifolds of \(K3^{[n}\)-type]
• Classification of automorphisms on a deformation family of hyper-Kähler four-folds by \(p\)-elementary lattices
• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• \(K3\) surfaces with non-symplectic automorphisms of prime order. With an appendix by Shigeyuki Kondō
• Variétés kähleriennes dont la première classe de Chern est nulle
• Topological invariants of O'Grady's six dimensional irreducible symplectic variety
• Non-symplectic automorphisms of order 3 on \(K3\) surfaces
• Surfaces of type K3 over fields of finite characteristic
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Prime order automorphisms of generalised Kummer fourfolds
• Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type]
• Erratum to: ``Mapping class group and a global Torelli theorem for hyperkähler manifolds
• Monodromy and birational geometry of O'Grady's sixfolds
• Symplectic involutions on deformations of \(K3^{[2}\)]
• Isometries of Ideal Lattices and Hyperkähler Manifolds
• Symplectic involutions of holomorphic symplectic four-folds
• Antisymplectic involutions of holomorphic symplectic manifolds
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• Lectures on K3 Surfaces
• Desingularized moduli spaces of sheaves on a K3
• A new six-dimensional irreducible symplectic variety
• Some algebraic and geometric properties of hyper-Kähler fourfold symmetries
• NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF -TYPE
• On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces
• Verra Four-Folds, Twisted Sheaves, and the Last Involution
• Smith theory and irreducible holomorphic symplectic manifolds
• Induced birational transformations on O'Grady's sixfolds
• Symplectic birational transformations of finite order on O'Grady's sixfolds

This page was built for publication: Nonsymplectic automorphisms of prime order on O'Grady's sixfolds