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hyperelliptic curve

algebraic curve that is a ramified double cover of the projective line
Class type of: superelliptic curve Q850110

Facts

6 properties
Subclass of
superelliptic curve[3]
Defining formula
y^2=f(x)\qquad(\deg f=2g+2\ge6)[5]
Discoverer or inventor
Adolph Göpel[1]
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
elliptic curve[2]
Time of discovery or invention
1847[4]
🏷️ Also known as
en hyperelliptic curve de hyperelliptische Kurve el Υπερελλειπτική καμπύλη es curva hiperelíptica fi hyperelliptinen käyrä fr courbe hyperelliptique ja 超楕円関数 ja 超楕円曲線 ko 초타원곡선 ko 초타원 곡선 ro curbă hipereliptică ru гиперэллиптическая кривая uk гіпереліптична крива zh 超椭圆曲线 zh 超橢圓曲線
🔖 Identifiers · 5
OpenAlex ID
C11074058
Image (Wikimedia Commons)
Example of a hyperelliptic curve.svg ↗
Freebase ID
/m/02hs1t
MathWorld ID
HyperellipticCurve
Microsoft Academic ID (discontinued)
11074058

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Discoverer or inventor 1
Adolph Göpel
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
elliptic curve
Subtypes 1
elliptic curve
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References

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Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). hyperelliptic curve. Retrieved November 8, 2026, from https://4ort.xyz/entity/hyperelliptic-curve
MLA “hyperelliptic curve.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/hyperelliptic-curve.
BibTeX @misc{4ortxyz_hyperelliptic-curve_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{hyperelliptic curve}}, year = {2026}, url = {https://4ort.xyz/entity/hyperelliptic-curve}, note = {Accessed: 2026-11-08}}
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