Decomposable subbundles of polystable vector bundles on projective curves
type: Item
instance of: scholarly article
title: Decomposable subbundles of polystable vector bundles on projective curves
zbMATH Open document ID: 0952.14026
author: E. Ballico
published in: Collectanea Mathematica
publication date: 2001-01-15T00:00:00Z
full work available at URL: https://eudml.org/doc/42648
review text: Let \(X\) be a smooth projective curve of genus \(g\geq 4\). Here we show the existence for several numerical variants \(x>0\), \(\deg (E_i)\), \(\text{rank} (E_i)\), \(1\leq i\leq x\), \(\deg (F)\), \(\text{rank} (F)\) of semistable vector bundles \(E_i\), \(1\leq i\leq x\), \(F\) on \(X\) such that \(E:= \bigoplus_{1\leq i\leq x}E_i\) is a saturated subbundle of \(F\) and \(F/E\) is semistable. If \(X\) is either bielliptic or with general moduli we may find stable vector bundles \(E_i\), \(1\leq i\leq x\), and \(F\) with \(F/E\) stable.
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 1383042
zbMATH Keywords: subbundles of polystable vector bundles
zbMATH Keywords: semistable vector bundle on curve
zbMATH Keywords: bielliptic curve
zbMATH Keywords: stable vector bundles on smooth curves
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1383042