Rational intersection cohomology of quotient varieties.
Relative tangent cone of analytic curves
The purpose of this paper is to give a characterization of the relative tangent cone of two analytic curves in with an isolated intersection.
Relative tangent cone of analytic sets
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 the Algebraic Approach to Intersection Theory.
Remarks on the generalized index of an analytic improper intersection
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...
Residue currents and complexity problems
Residues of regular and meromorphic differential forms.