The Hodge diamond of O’Grady’s six-dimensional example

Autor:	Antonio Rapagnetta, Giovanni Mongardi, Giulia Saccà
Přispěvatelé:	Mongardi, Giovanni, Rapagnetta, Antonio, Saccà, Giulia
Rok vydání:	2018
Předmět:	Pure mathematics Algebra and Number Theory 010102 general mathematics Holomorphic function Diamond IHS manifolds engineering.material Type (model theory) 01 natural sciences law.invention Mathematics::Algebraic Geometry law 0103 physical sciences engineering Involution (philosophy) Settore MAT/03 - Geometria Mathematics::Differential Geometry 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry Manifold (fluid mechanics) Quotient Symplectic geometry Mathematics
Zdroj:	Compositio Mathematica. 154:984-1013
ISSN:	1570-5846 0010-437X
DOI:	10.1112/s0010437x1700803x
Popis:	We realize O’Grady’s six-dimensional example of an irreducible holomorphic symplectic (IHS) manifold as a quotient of an IHS manifold of$\text{K3}^{[3]}$type by a birational involution, thereby computing its Hodge numbers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::342005a6b9f65d18e657dc4763375af7 https://doi.org/10.1112/s0010437x1700803x Zobrazit plný text záznamu