Proper intersection multiplicity and regular separation of analytic sets
Ewa Cygan ; Piotr Tworzewski
Annales Polonici Mathematici, Tome 60 (1994), p. 293-298 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:262376
@article{bwmeta1.element.bwnjournal-article-apmv59z3p293bwm,
     author = {Ewa Cygan and Piotr Tworzewski},
     title = {Proper intersection multiplicity and regular separation of analytic sets},
     journal = {Annales Polonici Mathematici},
     volume = {60},
     year = {1994},
     pages = {293-298},
     zbl = {0847.32008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv59z3p293bwm}
}
Ewa Cygan; Piotr Tworzewski. Proper intersection multiplicity and regular separation of analytic sets. Annales Polonici Mathematici, Tome 60 (1994) pp. 293-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv59z3p293bwm/

[000] [1] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36. | Zbl 0796.32006

[001] [2] R. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204. | Zbl 0157.40502

[002] [3] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S. Bures-sur-Yvette, 1965.

[003] [4] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991.

[004] [5] S. Łojasiewicz, Sur la séparation régulière, Univ. Studi Bologna, Sem. Geom. 1985, 119-121.

[005] [6] A. Płoski, Multiplicity and the Łojasiewicz exponent, Polish Academy of Sciences, Warsaw, preprint 359. | Zbl 0661.32018

[006] [7] A. Płoski, Une évaluation pour les sous-ensembles analytiques complexes, Bull. Polish Acad. Sci. Math. 31 (1983), 259-262. | Zbl 0578.32013

[007] [8] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 58 (1993), 213-219. | Zbl 0784.32005

[008] [9] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. | Zbl 0497.32024

[009] [10] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. | Zbl 0759.32015

[010] [11] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. | Zbl 0638.32011