Hodge genera and characteristic classes Of complex algebraic varieties

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

Hodge genera and characteristic classes Of complex algebraic varieties

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1-7
Number of pages	7
Journal	Electronic Research Announcements of the American Mathematical Society
Volume	15
State	Published - 2008

Keywords

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

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Hodge genera and characteristic classes Of complex algebraic varieties",

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.",

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AU - Cappell, Sylvain E.

AU - Libgober, Anatoly

AU - Maxim, Laurentiu

AU - Shaneson, Julius L.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Hirzebruch characteristic classes

KW - Hodge genus

KW - Mixed hodge module

KW - Monodromy

KW - Variation of hodge structures

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AN - SCOPUS:64549124242

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JO - Electronic Research Announcements of the American Mathematical Society

JF - Electronic Research Announcements of the American Mathematical Society

ER -

Hodge genera and characteristic classes Of complex algebraic varieties

Abstract

Keywords

ASJC Scopus subject areas

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