A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
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Tor H. Gulliksen (1974)
Mathematica Scandinavica
Marc Levine (1985)
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Bivià-Ausina, Carles (2002)
Experimental Mathematics
Sławomir Rams, Piotr Tworzewski, Tadeusz Winiarski (2005)
Annales Polonici Mathematici
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
Eduard Boďa, Štefan Solčan (1987)
Mathematica Slovaca
Bod̆a, Eduard, Schenzel, Peter (2004)
Beiträge zur Algebra und Geometrie
Eduard Boďa (1982)
Mathematica Slovaca
Juan Elias (1986)
Manuscripta mathematica
Ralf Fröberg (1982)
Mathematica Scandinavica
Wayne Bishop (1975)
Journal für die reine und angewandte Mathematik
Jürgen Herzog (1977)
Manuscripta mathematica
(2008)
Control and Cybernetics
H.-Ch. Graf von Bothmer, Wolfgang Ebeling, Xavier Gómez-Mont (2008)
Annales de l’institut Fourier
Let be a germ of a complete intersection variety in , , having an isolated singularity at and be the germ of a holomorphic vector field having an isolated zero at and tangent to . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of is also isolated in the ambient space we give a formula for the homological index in terms of local linear algebra.
Oneto, Anna, Zatini, Elsa (2005)
Beiträge zur Algebra und Geometrie
Wolfgang Vogel, Jürgen Stückrad (1986)
Mathematische Annalen
Ralf Fröberg (1985)
Mathematica Scandinavica
Jean-Michel Lemaire (1980/1981)
Séminaire Bourbaki
Federico Gaeta (1990)
Banach Center Publications
Jürgen Herzog, Manferd Steurich (1980)
Fundamenta Mathematicae
M. Herrmann, J. Ribbe, N.V. Trung (1991)
Manuscripta mathematica
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