On the method of analytic discs -

Abstract

Initiated by Riemann and Hilbert, the method of analytic discs is a powerful technique in Several Complex Variables. Such invariants are indeed particularly adapted to the study of CR extension, boundary extension of biholomorphisms or polynomial convexity. Based on a work of Alexander Tumanov, we propose to describe the techniques used to construct analytic discs with boundaries in real submanifolds of the n dimensional complex space and their application to the boundary extension of biholomorphisms.