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Relative tangent cone of analytic curves

Danuta Ciesielska (1999)

Annales Polonici Mathematici

The purpose of this paper is to give a characterization of the relative tangent cone of two analytic curves in m with an isolated intersection.

Relative tangent cone of analytic sets

Danuta Ciesielska (2012)

Annales Polonici Mathematici

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.

Remarks on pluripolar hulls

Le Mau Hai, Nguyen Quang Dieu, Tang Van Long (2004)

Annales Polonici Mathematici

The aim of the paper is to establish some results on pluripolar hulls and to define pluripolar hulls of certain graphs.

Remarks on the generalized index of an analytic improper intersection

Krzysztof Jan Nowak (2003)

Annales Polonici Mathematici

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 to be...

Remarks on the proof of a generalized Hartogs Lemma

Evgeni Chirka, Jean Pierre Rosay (1998)

Annales Polonici Mathematici

This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.

Remarks on the relative intrinsic pseudo-distance and hyperbolic imbeddability

Nguyen Doan Tuan, Pham Viet Duc (2005)

Annales Polonici Mathematici

We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.

Currently displaying 101 – 120 of 197