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Article

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Title

The Łojasiewicz exponent of nondegenerate surface singularities

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2023

Published in

Canadian Mathematical Bulletin

Journal year: 2023 | Journal volume: vol. 66 | Journal number: iss. 4

Article type

scientific article

Publication language

english

Keywords
EN
  • isolated singularity
  • nondegenerate singularity
  • Newton diagram
  • Łojasiewicz exponent
Abstract

EN Let f be an isolated singularity at the origin of C(f), which measures, to some extent, the topology of f. We give, for generic surface singularities f, an effective formula for L0(f) in terms of the Newton polyhedron of f. This is a realization of one of Arnold’s postulates.

Pages (from - to)

1391 - 1410

DOI

10.4153/S0008439523000528

URL

https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/abs/lojasiewicz-exponent-of-nondegenerate-surface-singularities/C99A4B2ED850E8446C7A87FF284DDF23

Ministry points / journal

70

Impact Factor

0,5

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