Stable rank 3 reflexive sheaves on \({\mathbb{P}}^ 3\) with extremal \(c_ 3\)
type: Item
instance of: scholarly article
title: Stable rank 3 reflexive sheaves on \({\mathbb{P}}^ 3\) with extremal \(c_ 3\)
zbMATH Open document ID: 0631.14010
DOI: 10.1007/BF01160895
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173902
review text: In 1977, \textit{M. Maruyama} [J. Math. Kyoto Univ. 17, 91-126 (1977; Zbl 0374.14002)] showed that the set of isomorphism classes of rank 3 stable reflexive sheaves on \({\mathbb{P}}^ 3\) with given Chern classes has a natural structure of algebraic scheme. But until now, there are no general results about these schemes and only in a few cases a precise description of them is known. This paper is devoted to study the moduli spaces of rank 3 stable reflexive sheaves on \({\mathbb{P}}^ 3\) which third Chern class corresponds to the upper bound of one of the intervals of existence of \(c_ 3\). The main features of these spaces are that they are irreducible, unirational and nonsingular.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 4025582
zbMATH Keywords: moduli spaces of rank 3 stable reflexive sheaves
zbMATH Keywords: third Chern class
author: Rosa M. Miró-Roig
MaRDI profile type: Publication
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OpenAlex ID: W419171782
description: scientific article; zbMATH DE number 4025582