Elliptic surfaces and ample vector bundles.
type: Item
instance of: scholarly article
title: Elliptic surfaces and ample vector bundles.
zbMATH Open document ID: 1053.14051
author: H. Maeda
author: Antonio Lanteri
published in: Pacific Journal of Mathematics
publication date: 2002-10-22T00:00:00Z
review text: Let \(E\) be an ample vector bundle of rank \(n-2 \geq 2\) on a complex projective manifold \(X\) of dimension \(n\) having a global section whose zero locus is a smooth surface \(Z\). In this paper the authors determine the structure of pairs \((X,E)\) as above under the assumption that \(Z\) is a properly elliptic surface. This generalizes known results on threefolds containing an elliptic surface as a smooth ample divisor. Among the applications the authors show a conjecture made in their previous work [Forum Math. 9, No. 1, 1--15 (1997; Zbl 0876.14026)].
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14J27
zbMATH DE Number: 1818899
reviewed by: Carlo Giovanni Madonna
MaRDI profile type: Publication
full work available at URL: pjm.2001.200.147
OpenAlex ID: W2037711109
DOI: 10.2140/PJM.2001.200.147
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description: scientific article; zbMATH DE number 1818899