Hodge genera and characteristic classes Of complex algebraic varieties

Sylvain E. Cappell, Anatoly Libgober, Laurentiu Maxim, Julius L. Shaneson

Research output: Contribution to journalArticle

Abstract

We announce Hodge theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties. Our results are formulated in terms of the generalized (motivic) Hirzebruch characteristic classes, and the arguments used in the proofs rely in an essential way on Saito's theory of algebraic mixed Hodge modules.

Original languageEnglish (US)
Pages (from-to)1-7
Number of pages7
JournalElectronic Research Announcements of the American Mathematical Society
Volume15
StatePublished - 2008

Keywords

  • Hirzebruch characteristic classes
  • Hodge genus
  • Mixed hodge module
  • Monodromy
  • Variation of hodge structures

ASJC Scopus subject areas

  • Mathematics(all)

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