A remark on stability and restrictions of vector bundles to hypersurfaces
type: Item
instance of: scholarly article
title: A remark on stability and restrictions of vector bundles to hypersurfaces
zbMATH Open document ID: 1462.14011
author: Ernesto C. Mistretta
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2021-05-03T00:00:00Z
review text: In the abundant literature on the stability of vector bundles, the relation between the stability of a bundle and the stability of its restriction to a subvariety has often been considered. This paper adds to the body of work by showing that a vector bundle on a smooth algebraic variety \(X\) with \(\dim(X)\geq 2\) is slope (semi-)stable with respect to an ample divisor \(H\) if its restriction to any smooth ample divisor \(Y\) equivalent to \(mH\) is slope (semi-)stable with respect to \(H\vert_Y\).
reviewed by: Tim Ryan
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14J60
zbMATH DE Number: 7342843
zbMATH Keywords: algebraic geometry
zbMATH Keywords: vector bundles in algebraic geometry
zbMATH Keywords: stability of vector bundles
zbMATH Keywords: moduli spaces of vector bundles
MaRDI profile type: Publication
full work available at URL: s40590-021-00333-3
OpenAlex ID: W3139009103
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DOI: 10.1007/S40590-021-00333-3
description: scientific article; zbMATH DE number 7342843