NDLI: Wedge product of currents

Content Provider	Springer Nature Link
Author	Khedhiri, H.
Copyright Year	2010
Abstract	In this paper, we study the existence of the wedge product of a positive closed current by the potential of another positive closed current on an open subset Ω of ℂ$^{n}$. In the case of analytic sets X and Y, to define the wedge product U $_{[X]}$ ∧ [Y], we establish a necessary and sufficient condition by expressing that the current U $_{[X]}$ has integrable coefficients with respect to the trace measure of the current [Y]. Dans cet article, on étudie l’existence du produit extérieur d’un courant positif fermé T de bidimension (p, p) par le potentiel local U $_{S}$ associé à un autre courant S, positif fermé de bidimension (q, q), définis sur un ouvert Ω de ℂ$^{n}$, avec p + q ≥ n. Dans le cas des courants d’intégration, on montre que si X et Y sont deux sous ensembles analytiques de Ω, alors les produits U $_{[X]}$ ∧ [Y] et [X] ∧ U $_{[Y]}$ sont bien définis quand X et Y réalisent une intersection complète. De plus, on démontre que cette condition est optimale pour que ces produits existent au sens des courants.
Starting Page	224
Ending Page	231
Page Count	8
File Format	PDF
ISSN	19950802
Journal	Lobachevskii Journal of Mathematics
Volume Number	31
Issue Number	3
e-ISSN	18189962
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-09-08
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Plurisubharmonic positive closed current Lelong Skoda potential wedge product integration on analytic sets complete intersection Probability Theory and Stochastic Processes Mathematical Logic and Foundations Geometry Analysis Algebra Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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