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- Poincaré_residue abstract "In mathematics, the Poincaré residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex function theory. It is just one of a number of such possible extensions.The theory assumes given a meromorphic complex form ω of degree n on Cn (or n-dimensional complex manifold, but the definition is local). Along a hypersurface H defined byf = 0there is the meromorphic 1-formdf/f.The Poincaré residue ρ along H is by definition a holomorphic (n − 1)-form on the hypersurface, for which there is an extension ρ′, locally to Cn, such that ω is the wedge product of df/f with ρ′. While ρ′ is not necessary unique, as a holomorphic extension of ρ, it is the case that ρ is uniquely defined.".
- Poincaré_residue wikiPageID "7062375".
- Poincaré_residue wikiPageLength "1168".
- Poincaré_residue wikiPageOutDegree "13".
- Poincaré_residue wikiPageRevisionID "650584516".
- Poincaré_residue wikiPageWikiLink Boris_Khesin.
- Poincaré_residue wikiPageWikiLink Category:Several_complex_variables.
- Poincaré_residue wikiPageWikiLink Complex_analysis.
- Poincaré_residue wikiPageWikiLink Complex_differential_form.
- Poincaré_residue wikiPageWikiLink Complex_manifold.
- Poincaré_residue wikiPageWikiLink Exterior_algebra.
- Poincaré_residue wikiPageWikiLink Grothendieck_residue.
- Poincaré_residue wikiPageWikiLink Hypersurface.
- Poincaré_residue wikiPageWikiLink Leray_residue.
- Poincaré_residue wikiPageWikiLink Mathematics.
- Poincaré_residue wikiPageWikiLink Meromorphic_function.
- Poincaré_residue wikiPageWikiLink Residue_(complex_analysis).
- Poincaré_residue wikiPageWikiLink Several_complex_variables.
- Poincaré_residue wikiPageWikiLinkText "Poincaré residue".
- Poincaré_residue subject Category:Several_complex_variables.
- Poincaré_residue hypernym Generalization.
- Poincaré_residue type Diacritic.
- Poincaré_residue type Function.
- Poincaré_residue type Redirect.
- Poincaré_residue type Variable.
- Poincaré_residue comment "In mathematics, the Poincaré residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex function theory. It is just one of a number of such possible extensions.The theory assumes given a meromorphic complex form ω of degree n on Cn (or n-dimensional complex manifold, but the definition is local).".
- Poincaré_residue label "Poincaré residue".
- Poincaré_residue sameAs Q7207867.
- Poincaré_residue sameAs m.0h2hcr.
- Poincaré_residue sameAs Q7207867.
- Poincaré_residue wasDerivedFrom Poincaré_residue?oldid=650584516.
- Poincaré_residue isPrimaryTopicOf Poincaré_residue.