A topological construction of the weight filtration
type: Item
instance of: scholarly article
title: A topological construction of the weight filtration
zbMATH Open document ID: 1200.14027
author: Fouad El Zein
author: Luca Migliorini
author: Dũng Tráng Lê
published in: Manuscripta Mathematica
publication date: 2010-09-10T00:00:00Z
review text: Let \(j:X \setminus Y \to X\) be the embedding of the complement of a Cartier divisor \(Y\) in a complex algebraic variety \(X\), and \(K\) be a perverse sheaf on \(X \setminus Y\). Using Verdier's specialization functor, the authors define a filtration \(W\) of topological origin on the perverse sheaf \(Rj_{*}K\). This yields in particular a new proof of the independance of the monodromy filtration on the choice of a local defining equation of an effective divisor \(D\) on \(X\).
reviewed by: Alexandru Dimca
Mathematics Subject Classification ID: 14D06
Mathematics Subject Classification ID: 32S35
Mathematics Subject Classification ID: 14D07
Mathematics Subject Classification ID: 32S40
Mathematics Subject Classification ID: 32G20
zbMATH DE Number: 5782784
zbMATH Keywords: monodromy filtration
zbMATH Keywords: weight filtration
zbMATH Keywords: perverse sheaf.
MaRDI profile type: Publication
full work available at URL: s00229-010-0368-y
OpenAlex ID: W2034159557
cites work: Q4274265
cites work: Q3320507
cites work: La conjecture de Weil. II
cites work: Q3819158
cites work: Q3597051
cites work: Q3999005
cites work: Mixed Hodge modules
DOI: 10.1007/S00229-010-0368-Y
description: scientific article; zbMATH DE number 5782784