Forty questions on singularities of algebraic varieties
type: Item
instance of: scholarly article
title: Forty questions on singularities of algebraic varieties
zbMATH Open document ID: 1243.14004
author: Herwig Hauser
author: Josef Schicho
published in: The Asian Journal of Mathematics
publication date: 2012-06-19T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ajm/1330439363
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14B12
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 6047818
zbMATH Keywords: singularitiy
zbMATH Keywords: resolution
zbMATH Keywords: Hironaka
MaRDI profile type: Publication
OpenAlex ID: W1994482057
DOI: 10.4310/AJM.2011.V15.N3.A5
review text: The authors formulate forty problems, questions and exercises in singularity theory: easy exercises up to hard unsolved problems.NEWLINENEWLINEProblem 3 deals with the integral closure of an ideal. One has to prove that the integral closure of an ideal is again an ideal. The integral closure of a monomial ideal shall be computed. Problem 28 asks for a proof of Artin's Approximation Theorem without using induction. Problem 30 is Grothendieck's \(p\)-Curvature Conjecture.
description: scientific article; zbMATH DE number 6047818