\(\mathbf C^*\)-surfaces with one-dimensional holomorphic hull (Q1969643)

The authors present an equivariant classification of the holomorphically convex complex surfaces admitting a nontrivial action of the group \({\mathbb C} ^{*}\) and having a one dimensional holomorphic hull. These results are very interesting, as they provide, together with the existing classifications of Stein and compact \({\mathbb C} ^{*}\)-surfaces, a complete description of the geometry of holomorphically convex \({\mathbb C} ^{*}\)-surfaces.