Relations de Fujiki et fibrations de variétés symplectiques irréductibles

Autor:	Martin Schwald
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Pure mathematics Mathematics - Algebraic Geometry Algebra and Number Theory Mathematics::Algebraic Geometry 14E99 14D99 14J99 Mathematik FOS: Mathematics Geometry and Topology Rank (differential topology) Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry Mathematics Symplectic geometry
Popis:	This paper concerns different types of singular complex projective varieties generalizing irreducible symplectic manifolds. We deduce from known results that the generalized Beauville-Bogomolov form satisfies the Fujiki relations and has the same rank as in the smooth case. This enables us to study fibrations of these varieties; imposing the newer definition from [GKP16, Definition 8.16.2] we show that they behave much like irreducible symplectic manifolds. Published version
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::750ee5c26249deb26a182fffa57f1d0d http://arxiv.org/abs/1701.09069 Zobrazit plný text záznamu