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Embedded curves and foliations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2011Embargo end date: 01 Jan 2011 Spain Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 55, pages 401-411 (issn: 0214-1493, Copyright policy )
Authors: Movasati, Hossein; Sad, Paulo;

doi: 10.5565/publmat_55211_07 , 10.48550/arxiv.1110.3669

arXiv: http://arxiv.org/abs/1110.3669

Embedded curves and foliations

Abstract

We prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert. We give also examples of neighborhoods which can not be linearized.

Pub. Mat. 55, 2011

Country
Spain
Related Organizations
Keywords

Mathematics - Complex Variables, 32F75, Mathematics - Algebraic Geometry, 32E05, 32L20, FOS: Mathematics, Complex Variables (math.CV), Holomorphic foliation ; Serre duality, Serre duality, Algebraic Geometry (math.AG), Holomorphic foliation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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gold