Nonalgebraic compactifications of quotients of the cylinder

TL;DR

This paper classifies certain compact complex surfaces that contain a large open subset with a universal cover shaped like a cylinder, advancing understanding of their geometric structure.

Contribution

It provides a classification of compact complex surfaces with open subsets whose universal cover is a cylinder, a novel geometric characterization.

Findings

Identification of specific classes of surfaces with cylindrical universal covers

Explicit description of the geometric and topological properties of these surfaces

Extension of previous classifications in complex surface theory

Abstract

We classify compact complex surfaces which contain a Zariski open subset whose universal covering is the cylinder DxC.