Varieties of complete pairs of zero-dimensional subschemes of lengths \(\geq 2\) and \(\geq 4\) of an algebraic surface.
type: Item
instance of: scholarly article
title: Varieties of complete pairs of zero-dimensional subschemes of lengths \(\geq 2\) and \(\geq 4\) of an algebraic surface.
zbMATH Open document ID: 1079.14008
DOI: 10.1023/A:1024068923065
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: This paper deals with certain aspects of the theory of Hilbert schemes of points on algebraic surfaces. The author considers a variety \(X_{d_1 d_2}\) of some special {pairs} \((A_{d_1},A_{d_2})\) of zero-dimensional subschemes of length \((d_1,d_2)\). It is proven that \(X_{23}\) is smooth and \(X_{24}\) is singular, thus disproving a conjecture by \textit{A. S. Tikhomirov} [Izv. Math. 61, No. 6, 1265--1291 (1997; Zbl 0935.14002)].
reviewed by: A. Milas
Mathematics Subject Classification ID: 14C05
zbMATH DE Number: 2120980
author: Nadezda Timofeeva
MaRDI profile type: Publication
full work available at URL: a:1024068923065
OpenAlex ID: W2045877636
description: scientific article; zbMATH DE number 2120980