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- Kummer_surface abstract "In algebraic geometry, a Kummer quartic surface, first studied by Kummer (1864), is an irreducible algebraic surface of degree 4 in with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variety of a smooth hyperelliptic curve of genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x. The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian, and they are the 16 singular points of the quartic surface. Resolving the 16 double points of the quotient of a (possibly nonalgebraic) torus by the Kummer involution gives a K3 surface with 16 disjoint rational curves; these K3 surfaces are also sometimes called Kummer surfaces.Other surface closely related to Kummer surfaces include Weddle surfaces, Wave surfaces, and tetrahedroids.".
- Kummer_surface thumbnail Kummer_surface.png?width=300.
- Kummer_surface wikiPageExternalLink 184605691.
- Kummer_surface wikiPageID "647758".
- Kummer_surface wikiPageRevisionID "598338555".
- Kummer_surface first "M.I.".
- Kummer_surface hasPhotoCollection Kummer_surface.
- Kummer_surface id "Kummer_surface".
- Kummer_surface last "Voitsekhovskii".
- Kummer_surface subject Category:Algebraic_surfaces.
- Kummer_surface subject Category:Complex_surfaces.
- Kummer_surface type AlgebraicSurfaces.
- Kummer_surface type Artifact100021939.
- Kummer_surface type ComplexSurfaces.
- Kummer_surface type Object100002684.
- Kummer_surface type PhysicalEntity100001930.
- Kummer_surface type Surface104362025.
- Kummer_surface type Whole100003553.
- Kummer_surface comment "In algebraic geometry, a Kummer quartic surface, first studied by Kummer (1864), is an irreducible algebraic surface of degree 4 in with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variety of a smooth hyperelliptic curve of genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x.".
- Kummer_surface label "Kummer surface".
- Kummer_surface label "Kummersche Flächen".
- Kummer_surface sameAs Kummersche_Flächen.
- Kummer_surface sameAs m.0642y67.
- Kummer_surface sameAs Q1494636.
- Kummer_surface sameAs Q1494636.
- Kummer_surface sameAs Kummer_surface.
- Kummer_surface wasDerivedFrom Kummer_surface?oldid=598338555.
- Kummer_surface depiction Kummer_surface.png.
- Kummer_surface isPrimaryTopicOf Kummer_surface.
