Stein Manifolds: Domains of Holomorphy in Complex Geometry
A brief introduction to Stein manifolds, their equivalent definitions, and the intuition behind domains of holomorphy in several complex variables.
The main result
Dear Reader, in today's brief, let us honour one topic in complex geometry: Stein manifolds. They admit several equivalent definitions. To my taste, the definition through the domain of holomorphy is the most intuitive one. Unfortunately, these manifolds are not compact. One familiar and illustrative example of a Stein manifold is given below for your reference and enjoyment.
Dr. Denys Dutykh
Associate Professor of Mathematics
Khalifa University of Science and Technology, Abu Dhabi, UAE
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