Intersection form for quasi-homogeneous singularities
Joseph Steenbrink (1977)
Compositio Mathematica
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Joseph Steenbrink (1977)
Compositio Mathematica
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Alexandru Dimca (1984)
Compositio Mathematica
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András Némethi (1995)
Compositio Mathematica
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R. García López, A. Némethi (1996)
Compositio Mathematica
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Muhammad Banyamin, Gerhard Pfister, Stefan Steidel (2012)
Open Mathematics
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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.
R. García López, A. Némethi (1999)
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...
Joseph H. M. Steenbrink (1997)
Annales de l'institut Fourier
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We define Du Bois invariants for isolated singularities of complex spaces. We relate them to the Hodge numbers of the local and vanishing cohomology groups. Our main results express the Tjurina number of certain Gorenstein singularities in terms of Du Bois invariants and Hodge numbers of the link, and express the Hodge numbers of the Milnor fibre of certain three-dimensional complete intersections in similar terms. We also address the question of the semicontinuity of the Du Bois invariants...