Relative tangent cone of analytic curves

Danuta Ciesielska

Displaying similar documents to “Relative tangent cone of analytic curves”

Relative tangent cone of analytic sets

Danuta Ciesielska (2012)

Annales Polonici Mathematici

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We give a characterization of the relative tangent cone of an analytic curve and an analytic set with an improper isolated intersection. Moreover, we present an effective computation of the intersection multiplicity of a curve and a set with s-metrization.

Regular functions of complex quaternionic variable

Jiří Měska (1984)

Czechoslovak Mathematical Journal

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Remarks on the generalized index of an analytic improper intersection

Krzysztof Jan Nowak (2003)

Annales Polonici Mathematici

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This article continues the investigation of the analytic intersection algorithm from the perspective of deformation to the normal cone, carried out in the previous papers of the author [7, 8, 9]. The main theorem asserts that, given an analytic set V and a linear subspace S, every collection of hyperplanes, admissible with respect to an algebraic bicone B, realizes the generalized intersection index of V and S. This result is important because the conditions for a collection of hyperplanes...

Invariants of analytic curves.

Hans J. Zwiesler (1989)

Publicacions Matemàtiques

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In this article we introduce a complete system of geometric invariants for an analytic curve. No restrictions are imposed on the curve and the invariants can be easily computed.

Smooth curves on a cone which pass through its vertex.

David B. Jaffe (1991)

Manuscripta mathematica

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3-type Curves on Hyperboloids of Revolution and Cones of Revolution

Miroslava Petrović-Torgašev, L. Verstraelen, Luc Vrancken (1996)

Publications de l'Institut Mathématique

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Complex Analytic Cones.

Reynir Axelsson, Jón Magnússon (1985/86)

Mathematische Annalen

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Fields of parallel vectors in the large

T. Y. Thomas (1936)

Compositio Mathematica

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A closure operation on complex analytic cones and torsion

Reynir Axelsson, Jón Magnússon (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Analytic regularity for the Bergman kernel

Gabor Françis, Nicholas Hanges (1998)

Journées équations aux dérivées partielles

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Let $Ω \subset ℝ^{2}$ be a bounded, convex and open set with real analytic boundary. Let $T_{Ω} \subset ℂ^{2}$ be the tube with base $Ω,$ and let $ℬ$ be the Bergman kernel of $T_{Ω}$ . If $Ω$ is strongly convex, then $ℬ$ is analytic away from the boundary diagonal. In the weakly convex case this is no longer true. In this situation, we relate the off diagonal points where analyticity fails to the Trèves curves. These curves are symplectic invariants which are determined by the CR structure of the boundary of $T_{Ω}$ . Note that Trèves curves...

A note on Bézout's theorem

Sławomir Rams, Piotr Tworzewski, Tadeusz Winiarski (2005)

Annales Polonici Mathematici

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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.