Hodge conjecture

conjecture in algebraic geometry that every Hodge class on a nonsingular complex projective manifold is a linear combination with rational coefficients of the cohomology classes of complex subvarieties
Place conjecture Q1143138
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Hodge conjecture

Summary

Hodge conjecture is a conjecture[1]. It ranks in the top 5% of conjecture entities by monthly Wikipedia readership (334 views/month).[2]

Key Facts

  • Hodge conjecture is credited with the discovery of W. V. D. Hodge[3].
  • Hodge conjecture's image is recorded as Hodge conjecture.png[4].
  • Hodge conjecture's instance of is recorded as conjecture[5].
  • W. V. D. Hodge is named after Hodge conjecture[6].
  • Hodge conjecture's part of is recorded as Millennium Problems[7].
  • Hodge conjecture's Freebase ID is recorded as /m/01kf1y[8].
  • Hodge conjecture's Encyclopædia Britannica Online ID is recorded as topic/Hodge-conjecture[9].
  • Hodge conjecture's studied by is recorded as algebraic geometry[10].
  • Hodge conjecture's MathWorld ID is recorded as HodgeConjecture[11].
  • Hodge conjecture's Quora topic ID is recorded as Hodge-Conjecture[12].
  • Hodge conjecture's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Hodge conjecture's Microsoft Academic ID is recorded as 54678060[14].
  • Hodge conjecture's ProofWiki ID is recorded as Hodge_Conjecture[15].
  • Hodge conjecture's Treccani's Enciclopedia della Matematica ID is recorded as congettura-di-hodge[16].
  • Hodge conjecture's OpenAlex ID is recorded as C54678060[17].

Body

Geography

Hodge conjecture's part of is recorded as Millennium Problems[7].

Designation and Status

Hodge conjecture's instance of is recorded as conjecture[5].

History and Context

W. V. D. Hodge is named after Hodge conjecture[6].

Why It Matters

Hodge conjecture ranks in the top 5% of conjecture entities by monthly Wikipedia readership (334 views/month).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[18] It is known by 4 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Quora. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Hodge conjecture. Retrieved May 3, 2026, from https://4ort.xyz/entity/hodge-conjecture
MLA “Hodge conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hodge-conjecture.
BibTeX @misc{4ortxyz_hodge-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hodge conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/hodge-conjecture}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hodge conjecture — https://4ort.xyz/entity/hodge-conjecture (retrieved 2026-05-03)

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