Fibrés exceptionnels et suite spectrale de Beilinson généralisée sur \({\mathbb{P}}_ 2({\mathbb{C}})\)
type: Item
instance of: scholarly article
title: Fibrés exceptionnels et suite spectrale de Beilinson généralisée sur \({\mathbb{P}}_ 2({\mathbb{C}})\)
zbMATH Open document ID: 0578.14013
DOI: 10.1007/BF01458581
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164131
review text: A construction of the stable and rigid vector bundle on \({\mathbb{P}}_ 2\) is given; they play a crucial role in the determination of the integers r, \(c_ 1, c_ 2\) such that a stable rank r vector bundle of Chern classes \(c_ 1, c_ 2\) exists, and they are called exceptional. This construction is used to build new resolutions of the diagonal of \({\mathbb{P}}_ 2\times {\mathbb{P}}_ 2\). One can then generalize the classical Bejlinson spectral sequence and so give a good description of some coherent sheaves on \({\mathbb{P}}_ 2\).
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 3924965
zbMATH Keywords: Bejlinson spectral sequence
zbMATH Keywords: exceptional fiber bundle
zbMATH Keywords: stable vector bundle on projective 2-space
author: Jean-Marc Drézet
MaRDI profile type: Publication
cites work: Moduli of vector bundles on the projective plane
cites work: Q4186468
cites work: Fibrés stables et fibrés exceptionnels sur $\mathbb{P}_2$
cites work: On the moduli of vector bundles on an algebraic surface
cites work: Fibres stables de rang 2 sur \(\mathbb{P}_2(\mathbb{C})\)
cites work: Moduli of stable sheaves. II
OpenAlex ID: W2026890164
description: scientific article; zbMATH DE number 3924965