Equations for hulls of holomorphy and foliations. (English) Zbl 0595.32016
Ennio de Giorgi Colloq., H. Poincaré Inst., Paris 1983, Res. Notes Math. 125, 50-61 (1985).
[For the entire collection see Zbl 0563.00011.]
This paper contains a discussion of two related subjects - the construction of the hull of holomorphy of certain compact subsets of \({\mathbb{C}}^ 2\), in particular of certain 2-spheres in \({\mathbb{C}}^ 2\), and the construction of certain plurisubharmonic measures of CE, E a subset of the boundary of a domain in \({\mathbb{C}}^ n\). The connecting link between these constructions is the concept of a foliation in one- dimensional complex analytic sets. The theorems and examples mentioned have been published in details elsewhere.
This paper contains a discussion of two related subjects - the construction of the hull of holomorphy of certain compact subsets of \({\mathbb{C}}^ 2\), in particular of certain 2-spheres in \({\mathbb{C}}^ 2\), and the construction of certain plurisubharmonic measures of CE, E a subset of the boundary of a domain in \({\mathbb{C}}^ n\). The connecting link between these constructions is the concept of a foliation in one- dimensional complex analytic sets. The theorems and examples mentioned have been published in details elsewhere.
Reviewer: S.Hayes
MSC:
| 32D10 | Envelopes of holomorphy |
| 32D15 | Continuation of analytic objects in several complex variables |
| 58J20 | Index theory and related fixed-point theorems on manifolds |
| 35J70 | Degenerate elliptic equations |
