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DTSTART;VALUE=DATE:20130507T171500
DTEND;VALUE=DATE:20130507T171500
UID:5671@agenda.unifr.ch
DESCRIPTION:We shall 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.\n\nA version of this statement on projective surfaces will be also presented.
SUMMARY:Serguei Ivashkovich (Lille-1 / MPIM Bonn): Banach analytic sets and non-linear versions of the E. Levi extension theorem
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5671
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