On polar invariants of hypersurface singularities
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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...
Ruud Pellikaan (1989)
Compositio Mathematica
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W. Ebeling, C. T. C. Wall (1985)
Compositio Mathematica
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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.
Alexandru Dimca (1984)
Compositio Mathematica
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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.