On the irreducibility of Hilbert scheme of surfaces of minimal degree
type: Item
instance of: scholarly article
title: On the irreducibility of Hilbert scheme of surfaces of minimal degree
zbMATH Open document ID: 1262.14004
author: V. S. Kulikov
author: Fedor Bogomolov
published in: Central European Journal of Mathematics
publication date: 2013-02-18T00:00:00Z
review text: The Hilbert scheme of irreducible surfaces of degree \(m\) in projective \({\mathbb P}^{m+1}\) is irreducible, except for \(m=4\) when the Hilbert scheme has two components. The article provides a new proof of this result using generic coverings of the projective plane.
reviewed by: Roy Mikael Skjelnes
Mathematics Subject Classification ID: 14C05
zbMATH DE Number: 6137072
zbMATH Keywords: Hilbert scheme
zbMATH Keywords: irreducible surfaces of minimal degree
zbMATH Keywords: coverings of the plane
MaRDI profile type: Publication
full work available at URL: s11533-012-0130-7
OpenAlex ID: W2073099264
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DOI: 10.2478/S11533-012-0130-7
description: scientific article; zbMATH DE number 6137072