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manuscripta mathematica

, Volume 104, Issue 1, pp 71–95 | Cite as

Variation homological diagrams,¶and corner singularities

  • Aviva Szpirglas
  • 31 Downloads

Abstract:

We describe the general homological framework (the variation arrays and variation homological diagrams) in which can be studied hypersurface isolated singularities as well as boundary singularities and corner singularities from the point of view of duality. We then show that any corner singularity is extension, in a sense which is defined, of the corner singularities of less dimension on which it is built. This framework is also used to rewrite Thom–Sebastiani type properties for isolated singularities and to establish them for boundary singularities.

Mathematics Subject Classification (2000): 32S30, 58K30 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Aviva Szpirglas
    • 1
  1. 1.UMR-CNRS {6086}, Université de Poitiers, Mathématiques, SP2MI, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France.¶e-mail: aviva@mathlabo.univ-poitiers.frFR

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