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Ax–Grothendieck theorem

an injective polynomial function from an n-dim complex vector space to itself is bijective
Intangible theorem Q4830725
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Ax–Grothendieck theorem

Summary

Ax–Grothendieck theorem is a theorem[1]. It draws 36 Wikipedia views per month (theorem category, ranking #248 of 1,306).[2]

Key Facts

  • Ax–Grothendieck theorem's instance of is recorded as theorem[3].
  • James Ax is named after Ax–Grothendieck theorem[4].
  • Alexander Grothendieck is named after Ax–Grothendieck theorem[5].
  • Ax–Grothendieck theorem's part of is recorded as list of theorems[6].
  • Ax–Grothendieck theorem's Freebase ID is recorded as /m/05p9n52[7].
  • Ax–Grothendieck theorem's proved by is recorded as James Ax[8].
  • Ax–Grothendieck theorem's proved by is recorded as Alexander Grothendieck[9].
  • Ax–Grothendieck theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Ax–Grothendieck theorem's Microsoft Academic ID is recorded as 2780797581[11].

Why It Matters

Ax–Grothendieck theorem draws 36 Wikipedia views per month (theorem category, ranking #248 of 1,306).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[12]

Related Entities

Alexander Grothendieck

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. 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). Ax–Grothendieck theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/ax-grothendieck-theorem
MLA “Ax–Grothendieck theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/ax-grothendieck-theorem.
BibTeX @misc{4ortxyz_ax-grothendieck-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Ax–Grothendieck theorem}}, year = {2026}, url = {https://4ort.xyz/entity/ax-grothendieck-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Ax–Grothendieck theorem — https://4ort.xyz/entity/ax-grothendieck-theorem (retrieved 2026-05-03)

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