Über die Rolle der eingebetteten Kompenenten für die Schnittheorie. (The role of the embedded components with respect to the intersection theory)
type: Item
instance of: scholarly article
title: Über die Rolle der eingebetteten Kompenenten für die Schnittheorie. (The role of the embedded components with respect to the intersection theory)
zbMATH Open document ID: 0687.14003
author: Taher Muhammed
published in: Beiträge zur Algebra und Geometrie
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138399
review text: Let X and Y be two closed subvarieties of \({\mathbb{P}}^ n\). One of the first attempt to study the role of an embedded component W of \(X\cap Y\) (i.e. a component of \(X\cap Y\) such that \(\dim (W)>\dim (X)+\dim (Y)-n)\) for the intersection theory of X with Y has been undertaken by Stückrad and Vogel [see \textit{J.Stückrad} and \textit{W. Vogel}, Beitr. Algebra Geom. 20, 215-224 (1985; Zbl 0631.14003) and 25, 177-184 (1987; Zbl 0633.14003)]. In this paper the author tries to analyze the method of Stückrad and Vogel from an algebraic point of view and to understand some examples of Lazarsfeld and Flenner in such a context.
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 14C15
zbMATH DE Number: 4125534
zbMATH Keywords: intersection of two subvarieties
zbMATH Keywords: embedded component
reviewed by: Lucian Bădescu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4125534