On the removable singularities for meromorphic mappings

If $E$ is a closed subset of locally finite Hausdorff $(2n-2)$-measure on an $n$-dimensional complex manifold $\Omega$ and all the points of $E$ are nonremovable for a meromorphic mapping of $\Omega \setminus E$ into a compact Kähler manifold, then $E$ is a pure $(n-1)$-dimensional complex analytic subset of $\Omega$

Remarks on the rank properties of formal CR maps

We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space. Both cases of finite and infinite type hypersurfaces are tackled in this note

Residue currents associated with weakly holomorphic functions

We construct Coleff-Herrera products and Bochner-Martinelli type residue currents associated with a tuple $f$ of weakly holomorphic functions, and show that these currents satisfy basic properties from the (strongly) holomorphic case, as the transformation law, the Poincar\'e-Lelong formula and the equivalence of the Coleff-Herrera product and the Bochner-Martinelli type residue current associated with $f$ when $f$ defines a complete intersection.Comment: 28 pages. Updated with some corrections from the revision process. In particular, corrected and clarified some things in Section 5 and 6 regarding products of weakly holomorphic functions and currents, and the definition of the Bochner-Martinelli type current