# Isolated intersection multiplicity and regular separation of analytic sets

Annales Polonici Mathematici (1993)

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

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topPiotr 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

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

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- Sławomir Rams, On the intersection product of analytic cycles
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