Diophantine geometry

branch of number theory concerned with integer solutions to Diophantine equations
Thing mathematical_theory Q16526038
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Diophantine geometry

Summary

Diophantine geometry is a mathematical theory[1]. It draws 185 Wikipedia views per month (mathematical_theory category, ranking #11 of 29).[2]

Key Facts

  • Diophantine geometry's instance of is recorded as mathematical theory[3].
  • Diophantine geometry's instance of is recorded as branch of mathematics[4].
  • Diophantus of Alexandria is named after Diophantine geometry[5].
  • Diophantine geometry is a type of geometry[6].
  • Diophantine geometry is part of number theory[7].
  • Diophantine geometry is part of theory of integers[8].
  • Diophantine geometry is part of Q114727809[9].
  • Diophantine geometry is part of Theory of equations[10].
  • Diophantine geometry is part of arithmetic geometry[11].
  • Diophantine geometry's topic's main category is recorded as Category:Diophantine geometry[12].
  • Diophantine geometry's is the study of is recorded as Diophantine equation[13].

Body

Definition and Type

Recorded instance of include mathematical theory[3] and branch of mathematics[4]. Diophantine geometry is a type of geometry[6].

Origins

Diophantus of Alexandria is named after Diophantine geometry[5].

Use and Application

Part of include number theory[7], a branch of mathematics[14]; theory of integers[8]; Q114727809[9]; Theory of equations[10], a mathematical theory[15]; and arithmetic geometry[11], a branch of mathematics[16].

Why It Matters

Diophantine geometry draws 185 Wikipedia views per month (mathematical_theory category, ranking #11 of 29).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[17] It is known by 8 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Inline context (facts about related entities)

  1. [14] . Wikidata. wikidata.org. → on this site
  2. [15] . Wikidata. wikidata.org. → on this site
  3. [16] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Diophantine geometry. Retrieved May 3, 2026, from https://4ort.xyz/entity/diophantine-geometry
MLA “Diophantine geometry.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/diophantine-geometry.
BibTeX @misc{4ortxyz_diophantine-geometry_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Diophantine geometry}}, year = {2026}, url = {https://4ort.xyz/entity/diophantine-geometry}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Diophantine geometry — https://4ort.xyz/entity/diophantine-geometry (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4d ago · Twofivesixbot bot · 2026-05-31 view diff on Wikidata ↗
    Topic's main category Category:Diophantine geometry
    Aliases
    Subclass of geometry
    Part of number theory, theory of integers, Q114727809 +2
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007529699805171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.