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Separation of algebraic sets and the Łojasiewicz exponent of polynomial map**s

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Inventiones mathematicae Aims and scope

Abstract.

We prove a sharp regular separation condition for arbitrary projective algebraic sets. As a corollary an extension of Kollár's results on the Łojasiewicz exponent of polynomial map**s is obtained.

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Authors and Affiliations

  1.  Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 KRAKÓW, Poland (e-mail: cygan@im.uj.edu.pl, / tworzews@im.uj.edu.pl), , , , , , PL

    Ewa Cygan & Piotr Tworzewski

  2.  Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 ŁÓDŹ, Poland (e-mail: krasinsk@krysia.uni.lodz.pl), , , , , , PL

    Tadeusz Krasiński

Authors
  1. Ewa Cygan
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  2. Tadeusz Krasiński
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  3. Piotr Tworzewski
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Oblatum 9-II-1998 & 3-VI-1998 / Published online: 14 January 1999

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Cygan, E., Krasiński, T. & Tworzewski, P. Separation of algebraic sets and the Łojasiewicz exponent of polynomial map**s. Invent math 136, 75–87 (1999). https://doi.org/10.1007/s002220050304

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  • DOI: https://doi.org/10.1007/s002220050304

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