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Lagrange transformations and duality for corner and flag singularities

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Abstract

Singularities on a space with a fixed collection of subspaces are studied. Homological objects for the singularities are constructed. A Lagrange transformation of the singularities is defined. It is shown that on the set of the isolated singularities, the Lagrange, transformation is an involution realizing the duality of corresponding homological objects.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978, Tel Aviv, Israel

    Inna Scherbak

  2. LAGA, URA CNRS no 742, Institut Galilée, Av. J.B. Clément, F-93430, Villetaneuse, France

    Aviva Szpirglas

Authors
  1. Inna Scherbak
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  2. Aviva Szpirglas
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Correspondence to Inna Scherbak.

Additional information

Supported by grant No. 6836-2-96 of the Israel Science Ministry.

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Scherbak, I., Szpirglas, A. Lagrange transformations and duality for corner and flag singularities. Isr. J. Math. 111, 77–92 (1999). https://doi.org/10.1007/BF02810678

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  • DOI: https://doi.org/10.1007/BF02810678

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