Abstract
Let \({j: X \setminus Y\,\longrightarrow\,X}\) be the embedding of the complement of a Cartier divisor Y in a complex algebraic variety X, and let \({\mathbb K}\) be a perverse sheaf on X \ Y. With the aid of the specialization functor introduced by Verdier in Analyse et Topologie sur les espaces singuliers vol. II, III, Astérisque 101–102:332–364 [13], we define a filtration W of topological origin on the perverse complex \({Rj_{*}\mathbb K}\) which should play the role of the weight filtration when \({\mathbb K}\) is a local system underlying a polarised variation of Hodge structures.
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A la mémoire de Jean Louis Verdier
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El Zein, F., Lê, D.T. & Migliorini, L. A topological construction of the weight filtration. manuscripta math. 133, 173–182 (2010). https://doi.org/10.1007/s00229-010-0368-y
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DOI: https://doi.org/10.1007/s00229-010-0368-y