On the existence of universal families of marked irreducible holomorphic symplectic manifolds

DOI10.1215/21562261-2019-0075zbMath1465.53065arXiv1701.08690OpenAlexW2925212764MaRDI QIDQ2038532

Eyal Markman

Publication date: 7 July 2021

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

Full work available at URL: https://arxiv.org/abs/1701.08690

zbMATH Keywords

universal familycompact hyper-Kähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) (K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Moduli, classification: analytic theory; relations with modular forms (14J15) Families, moduli of curves (analytic) (14H15) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (7)

KODAIRA DIMENSION OF UNIVERSAL HOLOMORPHIC SYMPLECTIC VARIETIES ⋮ Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties ⋮ Tautological families of cyclic covers of projective spaces ⋮ The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ Contraction centers in families of hyperkähler manifolds ⋮ Unobstructedness of hyperkähler twistor spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
• Variétés kähleriennes dont la première classe de Chern est nulle
• A note on families of hyperelliptic curves
• On the Douady space of a compact complex space in the category \({\mathcal C}\). II
• Hyperkähler metrics and supersymmetry
• Erratum to: Compact hyperkähler manifolds: basic results
• The Noether-Lefschetz conjecture and generalizations
• A Superficial Working Guide to Deformations and Moduli
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• On the douady space of a compact complex space in the category
• Desingularized moduli spaces of sheaves on a K3
• Twisted Bundles and Admissible Covers
• A new six-dimensional irreducible symplectic variety
• NO COHOMOLOGICALLY TRIVIAL NONTRIVIAL AUTOMORPHISM OF GENERALIZED KUMMER MANIFOLDS
• Hodge theory and Lagrangian planes on generalized Kummer fourfolds
• A new proof of E. Cartan’s theorem on the topology of semi-simple groups
• Loop spaces, characteristic classes and geometric quantization

This page was built for publication: On the existence of universal families of marked irreducible holomorphic symplectic manifolds