复几何, or "complex geometry," is a branch of mathematics that studies geometric structures using complex numbers. It combines elements of both algebra and geometry, allowing for a deeper understanding of shapes and their properties in higher dimensions. This field is particularly useful in areas such as algebraic geometry and string theory. In复几何, complex manifolds are central objects of study. These manifolds can be thought of as higher-dimensional analogs of complex numbers, providing a framework to explore various mathematical phenomena. The interplay between complex analysis and topology is crucial, making复几何 an essential area of research in modern mathematics.