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Concept information

... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > Abel-Jacobi map
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > Abel-Jacobi map
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > Abel-Jacobi map
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > Abel-Jacobi map
geometry > complex geometry > complex manifold > Riemann surface > Abel-Jacobi map
geometry > differential geometry > Riemannian geometry > Abel-Jacobi map
geometry > algebraic geometry > algebraic variety > algebraic curve > Abel-Jacobi map

Preferred term

Abel-Jacobi map  

Definition

  • In mathematics, the Abel–Jacobi map is a construction of algebraic geometry which relates an algebraic curve to its Jacobian variety. In Riemannian geometry, it is a more general construction mapping a manifold to its Jacobi torus. The name derives from the theorem of Abel and Jacobi that two effective divisors are linearly equivalent if and only if they are indistinguishable under the Abel–Jacobi map.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Abel%E2%80%93Jacobi_map)

Broader concept

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URI

http://data.loterre.fr/ark:/67375/PSR-R114WN2R-K

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RDF/XML TURTLE JSON-LD Created 7/21/23, last modified 8/22/23