Canonical stratification of non-degenerate complete intersection varieties
type: Item
instance of: scholarly article
title: Canonical stratification of non-degenerate complete intersection varieties
zbMATH Open document ID: 0709.32023
author: M. Oka
published in: Journal of the Mathematical Society of Japan
publication date: 1990-01-01T00:00:00Z
review text: From author's introduction: ``This paper is a continuation of Kodai Math. J. 11, No.3, 441-449 (1988; Zbl 0674.32001) and J. Fac. Sci., Univ. Tokyo Sect. IA 37, No.1, 11-32 (1990; see the paper above). Let V be a germ of complete intersection variety at the origin of \({\mathbb{C}}^ n\). The singularity of V is not necessarily isolated. The purpose of this paper is to describe the canonical toroidal resolution of V, the limit of the tangent spaces and to construct a canonical Whitney b-regular stratification on V under certain conditions. As an application the author generalizes to non-isolated singularity his result about the principal zeta function for a non degenerate complete intersection obtained in the paper reviewed above.
Mathematics Subject Classification ID: 32S20
Mathematics Subject Classification ID: 32S45
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 4165314
zbMATH Keywords: Whitney-stratification
zbMATH Keywords: singularity
zbMATH Keywords: toroidal resolution
zbMATH Keywords: complete intersection
reviewed by: Daniel Barlet
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04230397
OpenAlex ID: W1995413991
DOI: 10.2969/JMSJ/04230397
description: scientific article; zbMATH DE number 4165314