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Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices

Published online by Cambridge University Press:  04 December 2007

CLAUS HERTLING
CLAUS HERTLING
Affiliation:
Mathematisches Institut der Universitäat Bonn, Beringstraße 3, 53115 Bonn, Germany e-mail: hertling@math.uni-bonn.de
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Abstract

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Classifying spaces and moduli spaces are constructed for two invariants of isolated hypersurface singularities, for the polarized mixed Hodge structure on the middle cohomology of the Milnor fibre, and for the Brieskorn lattice as a subspace of the Gauß–Manin connection. The relations between them, period mappings for μ-constant families of singularities, and Torelli theorems are discussed.

Keywords

polarized mixed Hodge structureclassifying spacehypersurface singularityGauß–Manin connectionBrieskorn latticeTorelli theorem.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 1 , March 1999 , pp. 1 - 37
Copyright
© 1999 Kluwer Academic Publishers