birational geometry

field of algebraic geometry that seeks to determine when two algebraic varieties are birationally equivalent (isomorphic outside lower-dimensional subsets)
CreativeWork branch_of_mathematics Q1879333
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birational geometry

Summary

birational geometry is a branch of mathematics[1]. It draws 58 Wikipedia views per month (branch_of_mathematics category, ranking #100 of 184).[2]

Key Facts

  • birational geometry's instance of is recorded as branch of mathematics[3].
  • birational geometry's part of is recorded as algebraic geometry[4].
  • birational geometry's Freebase ID is recorded as /m/021tj1[5].
  • birational geometry's topic's main category is recorded as Category:Birational geometry[6].
  • birational geometry's Stack Exchange tag is recorded as https://mathoverflow.net/tags/birational-geometry[7].
  • birational geometry's is the study of is recorded as birational invariant[8].
  • birational geometry's nLab ID is recorded as birational geometry[9].
  • birational geometry's Microsoft Academic ID is recorded as 96881808[10].
  • birational geometry's OpenAlex ID is recorded as C96881808[11].

Body

Publication

birational geometry's part of is recorded as algebraic geometry[4].

Why It Matters

birational geometry draws 58 Wikipedia views per month (branch_of_mathematics category, ranking #100 of 184).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[12] It is known by 3 alternative names across languages and contexts.[13]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . 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. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). birational geometry. Retrieved May 3, 2026, from https://4ort.xyz/entity/birational-geometry
MLA “birational geometry.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/birational-geometry.
BibTeX @misc{4ortxyz_birational-geometry_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{birational geometry}}, year = {2026}, url = {https://4ort.xyz/entity/birational-geometry}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): birational geometry — https://4ort.xyz/entity/birational-geometry (retrieved 2026-05-03)

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