Intersection of analytic curves

Tadeusz Krasiński, and Krzysztof Jan Nowak. "Intersection of analytic curves." Annales Polonici Mathematici 80.1 (2003): 193-202. <http://eudml.org/doc/280268>.

@article{TadeuszKrasiński2003,
abstract = {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.},
author = {Tadeusz Krasiński, Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
keywords = {Tworzewski intersection cycle; Vogel intersection cycle; normal cone; relative tangent cone},
language = {eng},
number = {1},
pages = {193-202},
title = {Intersection of analytic curves},
url = {http://eudml.org/doc/280268},
volume = {80},
year = {2003},
}

TY - JOUR
AU - Tadeusz Krasiński
AU - Krzysztof Jan Nowak
TI - Intersection of analytic curves
JO - Annales Polonici Mathematici
PY - 2003
VL - 80
IS - 1
SP - 193
EP - 202
AB - 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.
LA - eng
KW - Tworzewski intersection cycle; Vogel intersection cycle; normal cone; relative tangent cone
UR - http://eudml.org/doc/280268
ER -