On the Noether-Lefschetz Theorem and Some Remarks on Codimension-two Cycles.
Joe Harris, Phillip Griffiths (1985)
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Joe Harris, Phillip Griffiths (1985)
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Daniel S. Grayson (1978)
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Tadeusz Krasiński, Krzysztof Jan Nowak (2003)
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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.
Bronislaw Wajnryb (1977)
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Cayley (1887)
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P.R. Goodey (1974)
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Edward Kasner (1904)
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Donald J. Collins (1978)
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