Sur le cone de 1-cycles effectifs en dimension 3.
X. Benveniste (1985)
Mathematische Annalen
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X. Benveniste (1985)
Mathematische Annalen
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Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Tadeusz Krasiński, Krzysztof Jan Nowak (2003)
Annales Polonici Mathematici
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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.
Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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Németh, A.B. (2004)
Mathematica Pannonica
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Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)
Annales de l'institut Fourier
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The -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an -cone. There are given an integral representation theorem and a representation theorem as an -cone of functions for which fine topology, thinnes, negligible sets and the...
John L. Simons (2008)
Acta Arithmetica
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Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)
Kybernetika
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Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have...
Eriksson-Bique, Sirkka-Liisa (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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