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... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > Riemann-Hurwitz formula
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > Riemann-Hurwitz formula
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > Riemann-Hurwitz formula
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > Riemann-Hurwitz formula
geometry > complex geometry > complex manifold > Riemann surface > Riemann-Hurwitz formula
geometry > algebraic geometry > algebraic variety > algebraic curve > Riemann-Hurwitz formula

Preferred term

Riemann-Hurwitz formula  

Definition

  • In mathematics, the Riemann–Hurwitz formula, named after Bernhard Riemann and Adolf Hurwitz, describes the relationship of the Euler characteristics of two surfaces when one is a ramified covering of the other. It therefore connects ramification with algebraic topology, in this case. It is a prototype result for many others, and is often applied in the theory of Riemann surfaces (which is its origin) and algebraic curves.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Riemann%E2%80%93Hurwitz_formula)

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http://data.loterre.fr/ark:/67375/PSR-PGJSRMZ8-Z

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RDF/XML TURTLE JSON-LD Created 7/21/23, last modified 10/18/24