Serguei Ivashkovich (Lille-1 / MPIM Bonn): Banach analytic sets and non-linear versions of the E. Levi extension theorem

Academic or specialist Colloquium / Congress / Forum

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.

A version of this statement on projective surfaces will be also presented.

When? 07.05.2013 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics