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Russian–German conference on Several Complex Variables
February 29, 2012 10:00, Moscow, Steklov Mathematical Institute
 


Banach analytic sets and a non-linear version of the Levi extension theorem

Sergey Ivashkovich

Université des Sciences et Technologies de Lille
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Sergey Ivashkovich
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Abstract: We prove a certain non-linear version of the Levi extension theorem for meromorphic functions. This means that the meromorphic function in question is supposed to be extendable along a sequence of complex curves, which are arbitrary, not necessarily straight lines. Moreover, these curves are not supposed to belong to any finite dimensional analytic family. The conclusion of our theorem is that nevertheless the function in question meromorphically extends along an (infinite dimensional) analytic family of complex curves and its domain of existence is a pinched domain filled in by this analytic family.

Language: English

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