Displaying similar documents to “On hypersurface singularities which are stems”

Deformation of polar methods

David B. Massey, Dirk Siersma (1992)

Annales de l'institut Fourier

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We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.

Real algebraic threefolds I. Terminal singularities.

János Kollár (1998)

Collectanea Mathematica

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The aim of this series of papers is to develop the theory of minimal models for real algebraic threefolds. The ultimate aim is to understand the topology of the set of real points of real algebraic threefolds. We pay special attention to 3–folds which are birational to projective space and, more generally, to 3–folds of Kodaira dimension minus infinity.present work contains the beginning steps of this program. First we classify 3–dimensional terminal singularities over any field of characteristic...

Local embeddings of lines in singular hypersurfaces

Guangfeng Jiang, Dirk Siersma (1999)

Annales de l'institut Fourier

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Lines on hypersurfaces with isolated singularities are classified. New normal forms of simple singularities with respect to lines are obtained. Several invariants are introduced.

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...