Rigid meromorphic foliations on complex surfaces
type: Item
instance of: scholarly article
title: Rigid meromorphic foliations on complex surfaces
zbMATH Open document ID: 0963.32020
author: E. Ballico
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2001-06-21T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108512
review text: The author first gives a construction of singular meromorphic foliations without algebraic leaves on every smooth projective surface. Then he gives a new proof of a result of \textit{L. G. Mendes} and \textit{M. Sebastiani} [Ann. Inst. Fourier 44, No. 1, 271-276 (1994; Zbl 0792.58001)]: On a smooth projective surface of Kodaira dimension \(-\infty\), except the complex projective plane, there is a rigid singular meromorphic foliation, which is induced by a ruling. Finally, rigidity is also studied for the case of an elliptic fibration.
reviewed by: Jesús A. Álvarez López
Mathematics Subject Classification ID: 32S65
Mathematics Subject Classification ID: 58A17
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 1395891
zbMATH Keywords: meromorphic foliation
zbMATH Keywords: algebraic leaf
zbMATH Keywords: rigidity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1395891