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Kummer surface

In algebraic geometry, a Kummer quartic surface, first studied by Ernst Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle \mathbb {P} ^{3}} 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…

Art, Level 2 structure & Geometry

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Geometry

Level 2 structure

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Kummer surface

Nodes37
Edges36
Triples49
Avg. degree1.95
Density0.054054
Components1

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Kummer surface

Top relations

related to References · 49
Kummer surface → Antonius, Barth, Berlin, Cambridge Mathematical Library, Cambridge University Press, Chris, Citizendium, Classical, Collected Papers, Compact Complex Surfaces, Creative Commons Attribution-ShareAlike, EMS Press This, Encyclopedia, Ergebnisse, Ernst Eduard, Flächen, Folge, Function Theory, Geometry, GFDL

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Important terminology

displaystyle kummer points surface double quartic 16 point jacobian lines curve 2-torsion configuration cover conic theta mathbb genus two nodes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kummer surfacerelated to ReferencesLock-green0.60section
Kummer surfacerelated to ReferencesLock-gray-alt-20.60section
Kummer surfacerelated to ReferencesLock-red-alt-20.60section
Kummer surfacerelated to ReferencesWikisource-logo0.60section
Kummer surfacerelated to ReferencesBarth0.60section
Kummer surfacerelated to ReferencesWolf0.60section
Kummer surfacerelated to ReferencesHulek0.60section
Kummer surfacerelated to ReferencesKlaus0.60section
Kummer surfacerelated to ReferencesPeters0.60section
Kummer surfacerelated to ReferencesChris0.60section
Kummer surfacerelated to ReferencesVan0.60section
Kummer surfacerelated to ReferencesVen0.60section

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