Resultant and the Łojasiewicz exponent

J. Chądzyński; T. Krasiński

Annales Polonici Mathematici (1995)

  • Volume: 61, Issue: 1, page 95-100
  • ISSN: 0066-2216

Abstract

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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

How to cite

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J. Chądzyński, and T. Krasiński. "Resultant and the Łojasiewicz exponent." Annales Polonici Mathematici 61.1 (1995): 95-100. <http://eudml.org/doc/262522>.

@article{J1995,
abstract = {An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.},
author = {J. Chądzyński, T. Krasiński},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic mapping; polynomial mapping; Łojasiewicz exponent; resultant},
language = {eng},
number = {1},
pages = {95-100},
title = {Resultant and the Łojasiewicz exponent},
url = {http://eudml.org/doc/262522},
volume = {61},
year = {1995},
}

TY - JOUR
AU - J. Chądzyński
AU - T. Krasiński
TI - Resultant and the Łojasiewicz exponent
JO - Annales Polonici Mathematici
PY - 1995
VL - 61
IS - 1
SP - 95
EP - 100
AB - An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.
LA - eng
KW - holomorphic mapping; polynomial mapping; Łojasiewicz exponent; resultant
UR - http://eudml.org/doc/262522
ER -

References

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  1. [C] J. Chądzyński, On the order of an isolated zero of a holomorphic mapping, Bull. Polish Acad. Sci. Math. 31 (1983), 121-128. Zbl0554.32005
  2. [CK₁] J. Chądzyński and T. Krasiński, The Łojasiewicz exponent of an analytic mapping of two complex variables at an isolated zero, in: Singularities, S. Łojasiewicz (ed.), Banach Center Publ. 20, PWN, Warszawa, 1988, 139-146. Zbl0674.32004
  3. [CK₂] J. Chądzyński and T. Krasiński, On the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² and components of polynomial automorphisms of ℂ² , Ann. Polon. Math. 57 (1992), 291-302. Zbl0791.14004
  4. [CP] J. Chądzyński and A. Płoski, An inequality for the intersection multiplicity of analytic curves, Bull. Polish Acad. Sci. Math. 36 (1988), 113-117. Zbl0699.13014
  5. [LT] M. Lejeune-Jalabert et B. Teissier, Clôture intégrale des idéaux et équisingularité, Centre de Mathématiques, École Polytechnique, 1974. 
  6. [P] A. Płoski, Multiplicity and the Łojasiewicz exponent, in: Singularities, S. Łojasiewicz (ed.), Banach Center Publ. 20, PWN, Warszawa, 1988, 353-364. Zbl0661.32018
  7. [W] R. J. Walker, Algebraic Curves, Springer, New York, 1978. 

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