Meromorphic limits of automorphisms (Q2075045)

The paper which compactifies the action of the identity connected component \(\Aut^0(X)\) of the automorphism group of compact complex manifold \(X\) bi-meromorphic to a Kähler manifold in order to obtain several interesting results. The first one shows that boundary points in the cycle's space compactification corresponds to non-dominant meromorphic self-maps with positive-dimensional stabilizer. The second result concerns the compactification of reductive sub-groups of \(\Aut^0(X)\). The last one extends Furstenberg lemma to this context.