Room P3.10, Mathematics Building

Alessandro Ghigi, Università di Pavia
Compactifying automorphism groups of Kaehler manifolds

Around 1978 Akira Fujiki and David Lieberman independently introduced a natural compactification of the connected component of the identity in the automorphism group of a compact Kaehler manifold. In the talk I will recall the construction of this compactification using Barlet cycle space. Then I will describe some recent results obtained jointly with Leonardo Biliotti. The main result is the interpretation of boundary points in terms of non-dominant meromorphic inmaps of the manifold in itself.