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- Positive_current abstract "In mathematics, more particularly in complex geometry,algebraic geometry and complex analysis, a positive currentis a positive (n-p,n-p)-form over an n-dimensional complex manifold,taking values in distributions.For a formal definition, consider a manifold M.Currents on M are (by definition)differential forms with coefficients in distributions. ; integratingover M, we may consider currents as "currents of integration",that is, functionals on smooth forms with compact support. This way, currentsare considered as elements in the dual space to the spaceof forms with compact support.Now, let M be a complex manifold.The Hodge decomposition is defined on currents, in a natural way, the (p,q)-currents beingfunctionals on .A positive current is defined as a real current of Hodge type (p,p), taking non-negative values on all positive(p,p)-forms.".
- Positive_current wikiPageExternalLink 9410022.
- Positive_current wikiPageID "11326411".
- Positive_current wikiPageRevisionID "510864746".
- Positive_current hasPhotoCollection Positive_current.
- Positive_current subject Category:Complex_manifolds.
- Positive_current subject Category:Several_complex_variables.
- Positive_current type Artifact100021939.
- Positive_current type ComplexManifolds.
- Positive_current type Conduit103089014.
- Positive_current type Manifold103717750.
- Positive_current type Object100002684.
- Positive_current type Passage103895293.
- Positive_current type PhysicalEntity100001930.
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- Positive_current comment "In mathematics, more particularly in complex geometry,algebraic geometry and complex analysis, a positive currentis a positive (n-p,n-p)-form over an n-dimensional complex manifold,taking values in distributions.For a formal definition, consider a manifold M.Currents on M are (by definition)differential forms with coefficients in distributions. ; integratingover M, we may consider currents as "currents of integration",that is, functionals on smooth forms with compact support.".
- Positive_current label "Positive current".
- Positive_current sameAs m.02r7v7l.
- Positive_current sameAs Q7233260.
- Positive_current sameAs Q7233260.
- Positive_current sameAs Positive_current.
- Positive_current wasDerivedFrom Positive_current?oldid=510864746.
- Positive_current isPrimaryTopicOf Positive_current.