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Algebraic surfaces are a central topic in algebraic geometry, a branch of mathematics that studies the solutions to polynomial equations and their geometric properties. Specifically, an algebraic surface is defined as the locus of points in three-dimensional space \(\mathbb{C}^3\) (or a projective space) that satisfy a polynomial equation in two variables, typically over the complex numbers \(\mathbb{C}\).

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  1. 4-manifolds
  2. Geometric topology
  3. Topology
  4. Fields of mathematics
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