Spectral Pairs, Mixed Hodge Modules, and Series of Plane Curve Singularities.
Nemethi, A., Steenbrink, J.H.M. (1995)
The New York Journal of Mathematics [electronic only]
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Nemethi, A., Steenbrink, J.H.M. (1995)
The New York Journal of Mathematics [electronic only]
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Annales de l'institut Fourier
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We attach a limit mixed Hodge structure to any polynomial map . The equivariant Hodge numbers of this mixed Hodge structure are invariants of which reflect its asymptotic behaviour. We compute them for a generic class of polynomials in terms of equivariant Hodge numbers attached to isolated hypersurface singularities and equivariant Hodge numbers of cyclic coverings of projective space branched along a hypersurface. We show how these invariants allow to determine topological invariants...
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In this article we describe our experiences with a parallel Singular implementation of the signature of a surface singularity defined by z N + g(x; y) = 0.