Complex geometry

Complex geometry is the study of shapes and spaces using complex numbers, which include both real and imaginary parts. Unlike traditional geometry that deals with distances and angles in real space, complex geometry explores structures where coordinates are complex numbers, leading to richer and more intricate properties. This field connects to advanced mathematics and physics, offering insights into how various shapes behave, transform, and relate within complex systems. It provides powerful tools for understanding phenomena in areas like string theory, quantum mechanics, and advanced topology, making it a fundamental part of modern mathematical research.