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2017 | 4 | 1 | 120-136
Tytuł artykułu

Regularization of closed positive currents and intersection theory

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Treść / Zawartość
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Języki publikacji
EN
Abstrakty
EN
We prove the existence of a closed regularization of the integration current associated to an effective analytic cycle, with a bounded negative part. By means of the King formula, we are reduced to regularize a closed differential form with L1loc coefficients, which by extension has a test value on any positive current with the same support as the cycle. As a consequence, the restriction of a closed positive current to a closed analytic submanifold is well defined as a closed positive current. Lastly, given a closed smooth differential (qʹ, qʹ)-form on a closed analytic submanifold, we prove the existence of a closed (qʹ, qʹ)-current having a restriction equal to that differential form. After blowing up we deal with the case of a hypersurface and then the extension current is obtained as a solution of a linear differential equation of order 1.
Wydawca
Czasopismo
Rocznik
Tom
4
Numer
1
Strony
120-136
Opis fizyczny
Daty
wydano
2017-02-23
otrzymano
2016-12-23
zaakceptowano
2017-06-26
online
2017-07-20
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_coma-2017-0008
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