Isolated intersection multiplicity and regular separation of analytic sets

• Autorzy: Piotr Tworzewski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

improper isolated intersection; multiplicity; exponent of regular separation

Kategorie tematyczne

• 32B10: Germs of analytic sets, local parametrization
• 14C17: Intersection theory, characteristic classes, intersection multiplicities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 2
• Strony: 213-219

Daty

wydano

1993

otrzymano

1993-01-04

Twórcy

autor

Piotr Tworzewski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36.
• [2] R. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204.
• [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.
• [8] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76.
• [9] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178.