Displaying similar documents to “Resolution of quasi-homogeneous singularities and plurigenera”

Du Bois invariants of isolated complete intersection singularities

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...

Topological triviality of versal unfoldings of complete intersections

James Damon (1984)

Annales de l'institut Fourier

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We obtain algebraic and geometric conditions for the topological triviality of versal unfoldings of weighted homogeneous complete intersections along subspaces corresponding to deformations of maximal weight. These results are applied: to infinite families of surface singularities in C 4 which begin with the exceptional unimodular singularities, to the intersection of pairs of generic quadrics, and to certain curve singularities. The algebraic conditions are related to the...