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Preprint . 2001
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manuscripta mathematica
Article . 2002 . Peer-reviewed
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Contact singularities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2002Publisher:Springer Science and Business Media LLCJournal:manuscripta mathematica, volume 108, pages 529-541 (issn: 0025-2611, eissn: 1432-1785, Copyright policy )
Authors: Campana, Frédéric; Flenner, Hubert;

doi: 10.1007/s002290200285

arXiv: math/0109064

Contact singularities

Abstract

A contact singularity is a normal singularity $(V,0)$ together with a holomorphic contact form $\eta$ on $V\backslash$ Sing $V$ in a neighbourhood of 0, i.e. $\eta\wedge (d\eta)^r$ has no zero, where dim $V=2r+1$. The main result of this paper is that there are no isolated contact singularities.

Comment: 11 pages, Latex, uses diagrams.tex of P. Taylor, see e.g. ftp://ftp.dante.de/pub/tex/macros/generic/diagrams/taylor/diagrams.tex. To appear in manuscripta math

Keywords

14B05, no isolated contact singularities, Mathematics - Complex Variables, 32S05, Singularities in algebraic geometry, contact singularity, 53D10, Mathematics - Algebraic Geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), mixed Hodge theory, Contact manifolds (general theory), deformation of symplectic singularities

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selected citations
These citations are derived from selected sources.
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!
8
Average
Top 10%
Average
Green