A K3 surface is a special type of complex smooth algebraic surface, characterized by several important properties. Here are the key features: 1. **Dimension and Arithmetic**: A K3 surface is a two-dimensional complex manifold (or algebraic surface) with a trivial canonical bundle, meaning that it has a vanishing first Chern class (\(c_1 = 0\)). This implies that its canonical divisor is numerically trivial.

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