The Levi problem for cohomology classes

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15 صفحه اول

On the Levi problem with singularities

Is a complex space X which is the union of an increasing sequence X1 ⊂ X2 ⊂ X3 ⊂ · · · of open Stein subspaces itself a Stein space ? From the begining this question has held great interest in Stein theory. The special case when {Xj}j≥1 is a sequence of Stein domains in I C n had been proved long time ago by Behnke and Stein [2]. In 1956, Stein [13] answered positively the question under the ad...

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Cohomology and Characteristic Classes

We prove Poincar e Duality for L p cohomology, 1 p 1 We study the pairings between L p and L 1 and construct characteristic classes.

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Mechanical proofs of the Levi commutator problem

This note presents purely mechanical proofs of the Levi commutator problem in group theory. The problem was solved first by using the theorem prover EQP, developed by William McCune at the Argonne National Laboratory. The fastest proof was found by using Peers-mcd, the Clause-Diffusion parallelization of EQP, developed by the author at the University of Iowa. 1 The Levi commutator problem The L...

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Pseudoconvextty and the Problem of Levi

The Levi problem is a very old problem in the theory of several complex variables and in its original form was solved long ago. However, over the years various extensions and generalizations of the Levi problem were proposed and investigated. Some of the more general forms of the Levi problem still remain unsolved. In the past few years there has been a lot of activity in this area. The purpose...

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ژورنال

عنوان ژورنال: Annales de l’institut Fourier

سال: 1984

ISSN: 0373-0956

DOI: 10.5802/aif.954