hallo,

my problem is the following: i have a finite sequence of holomorphic $k-$forms $\alpha_{k}$, each defined on open subsets $U_{k} \subset M$, where $M$ is a complex $n$-dimensional manifold, such that $\bigcup_{k}U_{k} = M$. is there any method of gluing the holomorphic $k$-forms to give one global holomorphic $k-$form on $M$. Or if this is not possible, is there any possibility of gluing them that weakens the holomorphicity of the globaly defined $k$-form ? maybe meromorphic ? I hope I've presented my question clearly, and hope for a response. Many thanks in advance.

dimitry