A general extension theorem for cohomology classes on non reduced analytic spaces

In particular, we give an approximation theorem of plurisubharmonic functions by logarithms of holomorphic functions, preserving as much as pos- sible the singularities and

Holomorphic function, plurisubharmonic function, multiplier ideal sheaf, L 2 extension theorem, Ohsawa-Takegoshi theorem, log canonical singularities, non reduced subvariety,

(c) For every complex Banach space E, the pair E c= (7 EE E" always satisfies condition (6); thus holomorphic extensions of the type indicated in the theorem are always

We will assume that the reader is familiar with the basic properties of the epsilon factor, 8(J, Vi), associated to a finite dimensional complex represen- tation u

The present paper will deal with the simplest 2-dimensional version of a problem of the indicated kind, t h a t is directly related to the Riemann mapping

The main ingredient in the proof of Theorem 1.1 is the following Hartogs type extension theorem for holomorphic vector bundles on Stein manifolds which was stated by Siu in

The proof in [D] uses results on the complex Plateau problem in projective space (after an appropriate Segre imbedding) and is essentially equivalent to the solution of this

The relationship between the approximation property for E and several spaces o f holo- morphic mappings and topologies on them, has been studied by Aron and