On moduli of instanton bundles on \(\mathbb{P}^{2n+1}\)
type: Item
instance of: scholarly article
title: On moduli of instanton bundles on \(\mathbb{P}^{2n+1}\)
zbMATH Open document ID: 0851.14007
author: Vincenczo Ancona
author: Giorgio Ottaviani
published in: Pacific Journal of Mathematics
publication date: 1996-11-05T00:00:00Z
review text: Let \(\text{MI}_{\mathbb{P}^{2n+1}} (k)\) be the moduli space of stable instanton bundles of rank \(2n\) on \(\mathbb{P}^{2n+ 1}\) with \(c_2= k\). We prove that \(\text{MI}_{\mathbb{P}^{2n+ 1}} (2)\) is smooth and irreducible, as it happens for \(\mathbb{P}^3\). We find instead that \(\text{MI}_{\mathbb{P}^5} (3)\) and \(\text{MI}_{\mathbb{P}^5} (4)\) are similar, computing the dimension of the tangent space at some particular instanton bundles.
reviewed by: Giorgio Ottaviani
Mathematics Subject Classification ID: 14F10
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 912148
zbMATH Keywords: smooth moduli space
zbMATH Keywords: singular moduli space
zbMATH Keywords: moduli space of stable instanton bundles
MaRDI profile type: Publication
full work available at URL: pjm.1995.171.343
OpenAlex ID: W1553429993
DOI: 10.2140/PJM.1995.171.343
description: scientific article; zbMATH DE number 912148