The LLV decomposition of hyperkähler cohomology and applications to the Nagai conjecture (after Green-Kim-Laza-Robles)
type: Item
instance of: scholarly article
title: The LLV decomposition of hyperkähler cohomology and applications to the Nagai conjecture (after Green-Kim-Laza-Robles)
author: Georg Oberdieck
author: Jieao Song
published in: Milan Journal of Mathematics
publication date: 2022-12-02T00:00:00Z
Mathematics Subject Classification ID: 14J42
Mathematics Subject Classification ID: 53C26
zbMATH DE Number: 7626084
MaRDI profile type: Publication
full work available at URL: s00032-022-00362-1
OpenAlex ID: W4296186079
Wikidata QID: Q123151596
cites work: On the Hodge and Betti numbers of hyper-Kähler manifolds
cites work: On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky)
cites work: The Looijenga-Lunts-Verbitsky algebra and Verbitsky's theorem
cites work: The Douady space of a complex surface
cites work: The Chow groups and the motive of the Hilbert scheme of points on a surface
cites work: Q4002278
cites work: The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior)
cites work: Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
cites work: A Lie algebra attached to a projective variety
cites work: On monodromies of a degeneration of irreducible symplectic Kähler manifolds
cites work: Heisenberg algebra and Hilbert schemes of points on projective surfaces
cites work: Motivic decompositions for the Hilbert scheme of points of a \(K3\) surface
cites work: A Lie algebra action on the Chow ring of the Hilbert scheme of points of a \(K3\) surface
cites work: Limit mixed Hodge structures of hyperk\"ahler manifolds
cites work: Q3492314
DOI: 10.1007/S00032-022-00362-1
description: scientific article; zbMATH DE number 7626084