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• W1989072882 abstract "The aim of this paper is to study the behavior of Hodge-theoretic (intersection homology) genera and their associated characteristic classes under proper morphisms of complex algebraic varieties. We obtain formulae that relate (parametrized families of) global invariants of a complex algebraic variety X to such invariants of singularities of proper algebraic maps defined on X. Such formulae severely constrain, both topologically and analytically, the singularities of complex maps, even between smooth varieties. Similar results were announced by the first and third author in [13, 32]. © 2007 Wiley Periodicals, Inc." @default.
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• W1989072882 date "2007-01-01" @default.
• W1989072882 modified "2023-10-18" @default.
• W1989072882 title "Hodge genera of algebraic varieties I" @default.
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• W1989072882 doi "https://doi.org/10.1002/cpa.20202" @default.
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