Intersection of analytic curves

• Autorzy: Tadeusz Krasiński , Krzysztof Jan Nowak
• Języki publikacji: EN

Abstrakty

EN

We give a relation between two theories of improper intersections, of Tworzewski and of Stückrad-Vogel, for the case of algebraic curves. Given two arbitrary quasiprojective curves V₁,V₂, the intersection cycle V₁ ∙ V₂ in the sense of Tworzewski turns out to be the rational part of the Vogel cycle v(V₁,V₂). We also give short proofs of two known effective formulae for the intersection cycle V₁ ∙ V₂ in terms of local parametrizations of the curves.

Kategorie tematyczne

• 14C17: Intersection theory, characteristic classes, intersection multiplicities
• 32B15: Analytic subsets of affine space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 80
• Numer: 1
• Strony: 193-202

Daty

wydano

2003

Twórcy

autor

Tadeusz Krasiński

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

autor

Krzysztof Jan Nowak

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

Identyfikatory

DOI

10.4064/ap80-0-16