Equidistribution of inverse images of analytic subsets in the projective space

초록

In this talk, we consider holomorphic endomorphisms and birational maps defined on a projective space and discuss convergence of normalized pull-backs of currents on integration on the regular part of an analytic subset. If the analytic subset is either of codimension 1 or of dimension 0, it was proved that for a generic analytic subset, its normalized pull-backs converge to a unique current in the sense of currents (that is, in the weak*-topology). In this talk, we consider the intermediate codimension case and present some partial results in this direction.