Mixed Hodge structures on the intersection cohomology of links

Alan H. Durfee and Morihiko Saito
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Alan H. Durfee: Mount Holyoke College
Morihiko Saito: RIMS Kyoto University

A chapter in Algebraic Geometry, 1990, pp 49-67 from Springer

Abstract: Abstract The theory of mixed Hodge modules is applied to obtain results about the mixed Hodge structure on the intersection cohomology of a link of a subvariety in a complex algebraic variety. The main result, whose proof uses the purity of the intersection complex in terms of mixed Hodge modules, is a generalization of the semipurity theorem obtained by Gabber in the l-adic case. An application is made to the local topology of complex varieties.

Keywords: Mixed Hodge structures; links of singularities; intersection homology; mixed Hodge modules; semipurity; topology of algebraic varieties (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0685-3_4

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DOI: 10.1007/978-94-009-0685-3_4

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