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arithmetic geometry

branch of algebraic geometry focused on problems in number theory
Class type of: geometry Q2179749

Facts

4 properties
Instance of
branch of mathematics
Subclass of
geometry[2]
Has part(s)
Diophantine geometry[3]
Maintained by WikiProject
WikiProject Mathematics[4]
🏷️ Also known as
en arithmetic algebraic geometry en arithmetic geometry ar المعادلة الحسابية el Αριθμητική γεωμετρία es geometria aritmetica es geometría aritmética fa هندسه حسابی fr géométrie arithmétique id geometri aljabar aritmetika id geometri aritmetika ja ディオファントス幾何学 ja 数論幾何学 ko 산술기하학 pl arytmetyczna geometria pl geometria arytmetyczna pt geometria aritmética ro geometrie aritmetică ru арифметическая геометрия sv aritmetisk geometri tr aritmetik geometri
🔖 Identifiers · 10
Library of Congress authority ID
sh87002041
Google Knowledge Graph ID
/g/15dq1b2d
MathWorld ID
ArithmeticGeometry
Mathematics Subject Classification ID
11Gxx
NLab ID
arithmetic geometry
National Library of Israel J9U ID
987007529699805171
ProofWiki ID
Definition:Arithmetic_Geometry
Stack Exchange tag
mathoverflow.net
Topic's main category
Category:Arithmetic geometry
Yale LUX ID
concept/7d2c2786-6f9c-4d67-ac7a-9a9d6bdf0b16

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🔗 Connections
← Field of work 2
James Milne, Wiesława Nizioł
← Studied by 2
Faltings' theorem, Mordell–Weil theorem
Has part(s) 1
Diophantine geometry
Has these parts 1
Diophantine geometry
Instance of 1
branch of mathematics
Maintained by WikiProject 1
WikiProject Mathematics
Subclass of 1
geometry
Topic's main category 1
Category:Arithmetic geometry
← Category's main topic 1
Category:Arithmetic geometry
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Summary

arithmetic geometry is a branch of mathematics[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.

Class ancestry

  1. [1] ↑ . Wikidata. 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). arithmetic geometry. Retrieved November 6, 2026, from https://4ort.xyz/entity/arithmetic-geometry
MLA “arithmetic geometry.” 4ort.xyz Knowledge Graph, 4ort.xyz, 6 Nov. 2026, https://4ort.xyz/entity/arithmetic-geometry.
BibTeX @misc{4ortxyz_arithmetic-geometry_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{arithmetic geometry}}, year = {2026}, url = {https://4ort.xyz/entity/arithmetic-geometry}, note = {Accessed: 2026-11-06}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): arithmetic geometry — https://4ort.xyz/entity/arithmetic-geometry (retrieved 2026-11-06)

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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. 23w ago · Twofivesixbot bot · 2026-05-28 view diff on Wikidata ↗
    Maintained by WikiProject → WikiProject Mathematics
    Subclass of → —
    Subclass of → geometry
    Instance of → branch of mathematics
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ National Library of Israel J9U ID: 987007529699805171, mv to monolingual text names on J9U statements"
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