Proper intersection multiplicity and regular separation of analytic sets

Ewa Cygan; Piotr Tworzewski

Annales Polonici Mathematici (1994)

  • Volume: 59, Issue: 3, page 293-298
  • ISSN: 0066-2216

Abstract

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We consider complex analytic sets with proper intersection. We find their regular separation exponent using basic notions of intersection multiplicity theory.

How to cite

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Ewa Cygan, and Piotr Tworzewski. "Proper intersection multiplicity and regular separation of analytic sets." Annales Polonici Mathematici 59.3 (1994): 293-298. <http://eudml.org/doc/262376>.

@article{EwaCygan1994,
abstract = {We consider complex analytic sets with proper intersection. We find their regular separation exponent using basic notions of intersection multiplicity theory.},
author = {Ewa Cygan, Piotr Tworzewski},
journal = {Annales Polonici Mathematici},
keywords = {proper intersection; multiplicity; exponent of regular separation; analytic set; separation},
language = {eng},
number = {3},
pages = {293-298},
title = {Proper intersection multiplicity and regular separation of analytic sets},
url = {http://eudml.org/doc/262376},
volume = {59},
year = {1994},
}

TY - JOUR
AU - Ewa Cygan
AU - Piotr Tworzewski
TI - Proper intersection multiplicity and regular separation of analytic sets
JO - Annales Polonici Mathematici
PY - 1994
VL - 59
IS - 3
SP - 293
EP - 298
AB - We consider complex analytic sets with proper intersection. We find their regular separation exponent using basic notions of intersection multiplicity theory.
LA - eng
KW - proper intersection; multiplicity; exponent of regular separation; analytic set; separation
UR - http://eudml.org/doc/262376
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, Polish Academy of Sciences, Warsaw, preprint 359. Zbl0661.32018
  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, Isolated intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 58 (1993), 213-219. Zbl0784.32005
  9. [9] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. Zbl0497.32024
  10. [10] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. Zbl0759.32015
  11. [11] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

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