Effective normalization of a nonsingular in codimension one algebraic variety
type: Item
instance of: scholarly article
title: Effective normalization of a nonsingular in codimension one algebraic variety
zbMATH Open document ID: 1184.14091
DOI: 10.1134/S1064562409040322
published in: Doklady Mathematics
publication date: 2010-02-05T00:00:00Z
review text: Let \(V\) be a non-singular in codimension one projective algebraic variety of degree \(D\) and dimension \(n\). Then, the paper proves that the construction of the normalization of \(V\) can be reduced canonically within the time polynomial in the size of the input and \(D^{n^{O(1)}}\) to solving a linear equation \(aX+bY+cZ=0\) over a polynomial ring.
reviewed by: Juan Gerardo Alcazar
Mathematics Subject Classification ID: 14Q15
zbMATH DE Number: 5666541
zbMATH Keywords: nonsingular in codimension one
zbMATH Keywords: projective algebraic variety
zbMATH Keywords: normalization
zbMATH Keywords: effective normalization
author: A. L. Chistov
MaRDI profile type: Publication
full work available at URL: s1064562409040322
OpenAlex ID: W2087192332
description: scientific article; zbMATH DE number 5666541