= Complex surfaces
{wiki=Category:Complex_surfaces}
In mathematics, particularly in algebraic geometry and complex geometry, a **complex surface** is a two-dimensional complex manifold. This means that it is a manifold that locally resembles \\(\\mathbb\{C\}^2\\) (the two-dimensional complex space) and can therefore be studied using the tools of complex analysis and differential geometry. A complex surface has the following characteristics: 1. **Complex Dimension:** A complex surface has complex dimension 2, which means it has real dimension 4.
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