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Relative Chow correspondences and the Griffiths group

Eric M. Friedlander (2000)

Annales de l'institut Fourier

A relativization of earlier constructions and Nori’s rational Lefschetz theorem enable interesting examples of the “topological filtration” on algebraic cycles.

Relative exactness modulo a polynomial map and algebraic ( p , + ) -actions

Philippe Bonnet (2003)

Bulletin de la Société Mathématique de France

Let F = ( f 1 , ... , f q ) be a polynomial dominating map from n to  q . We study the quotient 𝒯 1 ( F ) of polynomial 1-forms that are exact along the generic fibres of F , by 1-forms of type d R + a i d f i , where R , a 1 , ... , a q are polynomials. We prove that 𝒯 1 ( F ) is always a torsion [ t 1 , ... , t q ] -module. Then we determine under which conditions on F we have 𝒯 1 ( F ) = 0 . As an application, we study the behaviour of a class of algebraic ( p , + ) -actions on n , and determine in particular when these actions are trivial.

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.

Currently displaying 221 – 240 of 380