A recollement of vector bundles
type: Item
instance of: scholarly article
title: A recollement of vector bundles
zbMATH Open document ID: 1244.18007
author: Xiao-Wu Chen
published in: Bulletin of the London Mathematical Society
publication date: 2012-04-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1011.4782
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 16E65
Mathematics Subject Classification ID: 13E05
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 6023874
zbMATH Keywords: vector bundle
zbMATH Keywords: stable category
zbMATH Keywords: recollement
zbMATH Keywords: weighted projective line
MaRDI profile type: Publication
OpenAlex ID: W3102931195
arXiv ID: 1011.4782
DOI: 10.1112/BLMS/BDR092
review text: For a weighted projective line, the stable category of its vector bundles modulo line bundles has a natural triangulated structure. In this paper the author proved that for any positive integers \(p, q, r\) and \(r'\) with \(r'\leq r\), there is an explicit recollement of the stable category of vector bundles on a weighted projective line of weight type \((p,q,r)\) relative to the ones on weighted projective lines of weight types \((p,q,r')\) and \((p,q,r-r'+1)\).
reviewed by: Tong Wenting
description: scientific article; zbMATH DE number 6023874