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Jacobian variety

moduli space of degree 0 line bundles on a curve; the identity component of the Picard group
Class type of: Albanese variety, moduli space, identity component Q845729

Facts

3 properties
Instance of
algebraic construction
Subclass of
Albanese variety, moduli space, identity component[2][3][4]
Different from
Jacobian determinant, Generalized Jacobian[5][6]
🏷️ Also known as
en Jacobian variety en Jacobi variety de Jacobische Varietät de Jacobi-Varietät el Ιακωβιανή ποικιλία fr Variété jacobienne ja ヤコビ多様体 ko 야코비 대수다양체 pt variedade jacobiana ru многообразие Якоби ru якобиан ru якобиево многообразие sv Jacobivarieteten zh 雅可比簇
🔖 Identifiers · 4
Encyclopedia of Mathematics article ID
Jacobi_variety
Freebase ID
/m/02gp7p
Microsoft Academic ID (discontinued)
163700580
NLab ID
Jacobian variety

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🔗 Connections
Subclass of 1
moduli space
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Summary

Jacobian variety is an algebraic construction[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

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

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Jacobian variety. Retrieved November 10, 2026, from https://4ort.xyz/entity/jacobian-variety
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BibTeX @misc{4ortxyz_jacobian-variety_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Jacobian variety}}, year = {2026}, url = {https://4ort.xyz/entity/jacobian-variety}, note = {Accessed: 2026-11-10}}
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