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Concept information

... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > smooth completion
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > smooth completion
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > smooth completion
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > smooth completion
geometry > complex geometry > complex manifold > Riemann surface > smooth completion
geometry > algebraic geometry > algebraic variety > algebraic curve > smooth completion

Preferred term

smooth completion  

Definition

  • In algebraic geometry, the smooth completion (or smooth compactification) of a smooth affine algebraic curve X is a complete smooth algebraic curve which contains X as an open subset. Smooth completions exist and are unique over a perfect field.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Smooth_completion)

Broader concept

Synonym(s)

  • smooth compactification

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-FFLTKLLC-0

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