Deformation of polar methods

David B. Massey; Dirk Siersma

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 4, page 737-778
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Massey, David B., and Siersma, Dirk. "Deformation of polar methods." Annales de l'institut Fourier 42.4 (1992): 737-778. <http://eudml.org/doc/74972>.

@article{Massey1992,
abstract = {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.},
author = {Massey, David B., Siersma, Dirk},
journal = {Annales de l'institut Fourier},
keywords = {hypersurface singularities; deformations; vanishing homology; Lê numbers},
language = {eng},
number = {4},
pages = {737-778},
publisher = {Association des Annales de l'Institut Fourier},
title = {Deformation of polar methods},
url = {http://eudml.org/doc/74972},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Massey, David B.
AU - Siersma, Dirk
TI - Deformation of polar methods
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 4
SP - 737
EP - 778
AB - 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.
LA - eng
KW - hypersurface singularities; deformations; vanishing homology; Lê numbers
UR - http://eudml.org/doc/74972
ER -

References

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