Intersection theory and separation exponent in complex analytic geometry

Ewa Cygan

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 3, page 287-299
  • ISSN: 0066-2216

Abstract

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We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.

How to cite

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Ewa Cygan. "Intersection theory and separation exponent in complex analytic geometry." Annales Polonici Mathematici 69.3 (1998): 287-299. <http://eudml.org/doc/270302>.

@article{EwaCygan1998,
abstract = {We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.},
author = {Ewa Cygan},
journal = {Annales Polonici Mathematici},
keywords = {multiplicity of proper and improper intersection; exponent of regular separation; intersection multiplicity; Łojasiewicz exponent},
language = {eng},
number = {3},
pages = {287-299},
title = {Intersection theory and separation exponent in complex analytic geometry},
url = {http://eudml.org/doc/270302},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Ewa Cygan
TI - Intersection theory and separation exponent in complex analytic geometry
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 3
SP - 287
EP - 299
AB - We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.
LA - eng
KW - multiplicity of proper and improper intersection; exponent of regular separation; intersection multiplicity; Łojasiewicz exponent
UR - http://eudml.org/doc/270302
ER -

References

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  10. [Ł₃] S. Łojasiewicz, Sur la séparation régulière, Univ. Studi Bologna Sem. Geom. 1985, 119-121. 
  11. [T₁] P. Tworzewski, Intersection of analytic sets with linear subspaces, Ann. Scuola Norm. Sup. Pisa (4) 17 (1990), 227-271. 
  12. [T₂] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191. Zbl0911.32018
  13. [T₃] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 58 (1993), 213-219. Zbl0784.32005
  14. [TW₁] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. Zbl0497.32024
  15. [TW₂] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. Zbl0759.32015
  16. [W] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

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