Lucia Alessandrini

Lelong numbers of positive plurisubharmonic currents

AbstractA (k,k)-current T on an open subset of CN is plurisubharmonic if is positive. Positive plurisubharmonic currents admit Lelong numbers; we prove here that they are independent on the coordinates system. Moreover, if Y is an analytic subset of pure dimension, then the Lelong numbers of T on Y are given by a non negative weakly plurisubharmonic function.

Compact p-Kähler manifolds

In this paper we study compact complex non-Kähler manifolds, in particular the holomorphically parallelizable ones, by means of their degree of p-Kählerianity, which can also be characterized by the absence of a certain class of holomorphic k-forms or of a certain class of currents on the manifold. We give several examples to emphasize the structure and the behaviour of this kind of non-Kähler manifolds.

Positive\(\partial \bar \partial - closed\) currents and non-Kähler geometrycurrents and non-Kähler geometry

AbstractIn this paper some new results on positive

Smooth proper modifications of compact Kahler manifolds

\partial \bar \partial - closed

Product of generalized p-Kähler manifolds

currents are applied to modifications

Forms and currents defining generalized p -Kähler structures

f:\bar M \to M