Isolated intersection multiplicity and regular separation of analytic sets

Piotr Tworzewski

Annales Polonici Mathematici (1993)

  • Volume: 58, Issue: 2, page 213-219
  • ISSN: 0066-2216

Abstract

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An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.

How to cite

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Piotr Tworzewski. "Isolated intersection multiplicity and regular separation of analytic sets." Annales Polonici Mathematici 58.2 (1993): 213-219. <http://eudml.org/doc/262521>.

@article{PiotrTworzewski1993,
abstract = {An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.},
author = {Piotr Tworzewski},
journal = {Annales Polonici Mathematici},
keywords = {improper isolated intersection; multiplicity; exponent of regular separation; analytic set; regular separation; intersection multiplicity},
language = {eng},
number = {2},
pages = {213-219},
title = {Isolated intersection multiplicity and regular separation of analytic sets},
url = {http://eudml.org/doc/262521},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Piotr Tworzewski
TI - Isolated intersection multiplicity and regular separation of analytic sets
JO - Annales Polonici Mathematici
PY - 1993
VL - 58
IS - 2
SP - 213
EP - 219
AB - An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.
LA - eng
KW - improper isolated intersection; multiplicity; exponent of regular separation; analytic set; regular separation; intersection multiplicity
UR - http://eudml.org/doc/262521
ER -

References

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  1. [1] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36. Zbl0796.32006
  2. [2] R. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204. Zbl0157.40502
  3. [3] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette, 1965. 
  4. [4] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel 1991. 
  5. [5] S. Łojasiewicz, Sur la séparation régulière, Univ. Studi Bologna, Sem. Geom. 1985, 119-121. 
  6. [6] A. Płoski, Multiplicity and the Łojasiewicz exponent, preprint 359, Polish Academy of Sciences, Warszawa 1986. 
  7. [7] A. Płoski, Une évaluation pour les sous-ensembles analytiques complexes, Bull. Polish Acad. Sci. Math. 31 (1983), 259-262. Zbl0578.32013
  8. [8] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. Zbl0497.32024
  9. [9] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

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