Enriques surfaces
E1351143
UNEXPLORED
Enriques surfaces are a special class of complex algebraic surfaces of Kodaira dimension zero with finite fundamental group, notable in the classification of algebraic surfaces and closely related to K3 and Kummer surfaces.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Enriques surfaces canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18956187 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Enriques surfaces Context triple: [Kummer surface, relatedTo, Enriques surfaces]
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A.
Hirzebruch surfaces
Hirzebruch surfaces are a family of complex algebraic surfaces that serve as fundamental examples in algebraic geometry and the classification of complex surfaces.
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B.
Kummer surfaces
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
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C.
"Algebraic Surfaces"
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
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D.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
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E.
Hurwitz surfaces
Hurwitz surfaces are compact Riemann surfaces of maximal possible automorphism group size for their genus, achieving the Hurwitz bound of 84(g−1) symmetries.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Enriques surfaces Target entity description: Enriques surfaces are a special class of complex algebraic surfaces of Kodaira dimension zero with finite fundamental group, notable in the classification of algebraic surfaces and closely related to K3 and Kummer surfaces.
-
A.
Hirzebruch surfaces
Hirzebruch surfaces are a family of complex algebraic surfaces that serve as fundamental examples in algebraic geometry and the classification of complex surfaces.
-
B.
Kummer surfaces
Kummer surfaces are special quartic algebraic surfaces in projective three-space characterized by having 16 ordinary double points, extensively studied in the context of complex geometry and abelian varieties.
-
C.
"Algebraic Surfaces"
"Algebraic Surfaces" is a foundational monograph in algebraic geometry that systematically develops the theory and classification of algebraic surfaces.
-
D.
Clebsch diagonal surfaces
Clebsch diagonal surfaces are classical 19th-century algebraic surfaces in projective three-space, famous as the first explicit smooth cubic surface with all 27 lines defined over the real numbers.
-
E.
Hurwitz surfaces
Hurwitz surfaces are compact Riemann surfaces of maximal possible automorphism group size for their genus, achieving the Hurwitz bound of 84(g−1) symmetries.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Kummer surfaces