Cohomologically insignificant degenerations of algebraic varieties
Igor Dolgachev (1980)
Compositio Mathematica
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Igor Dolgachev (1980)
Compositio Mathematica
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James Carlson, Mark Green, Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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J. H. M. Steenbrink (1995)
Compositio Mathematica
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Nemethi, A., Steenbrink, J.H.M. (1995)
The New York Journal of Mathematics [electronic only]
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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...
Mark Andrea A. de Cataldo, Luca Migliorini (2005)
Annales scientifiques de l'École Normale Supérieure
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András Némethi (1995)
Compositio Mathematica
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