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Riemann–Roch theorem for surfaces

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Algebraic topology Topological methods of algebraic geometry
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The Riemann–Roch theorem for surfaces is a powerful result in algebraic geometry that relates the geometry of a smooth projective surface to the properties of line bundles (or divisor class) on that surface. More specifically, the theorem provides a formula that relates the dimensions of certain vector spaces of global sections of line bundles or divisors.

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  1. Topological methods of algebraic geometry
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