Holomorphic curve

A holomorphic curve is a mathematical concept from complex analysis and algebraic geometry. Specifically, it refers to a curve that is defined by holomorphic functions. Here’s a breakdown of what this means: 1. **Holomorphic Functions**: A function \( f: U \rightarrow \mathbb{C} \) is called holomorphic if it is complex differentiable at every point in an open subset \( U \) of the complex plane.