Birkhoff–Grothendieck theorem

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Birkhoff–Grothendieck theorem

Quality:

Birkhoff–Grothendieck theorem - classifies holomorphic vector bundles over the complex projective line. Article "Birkhoff–Grothendieck theorem" in English Wikipedia has 19.5 points for quality (as of July 1, 2025). The article contains 4 references and 7 sections.

This article has the best quality in Ukrainian Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Birkhoff–Grothendieck theorem", its content was written by 26 registered users of English Wikipedia and edited by 36 registered Wikipedia users in all languages.

The article is cited 89 times in English Wikipedia and cited 109 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #137241 in January 2009
  • Global: #296490 in May 2025

The highest popularity rank from 2008:

  • Local (English): #1004798 in February 2008
  • Global: #1535513 in April 2010

There are 6 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Ukrainian (uk)
Теорема Гротендіка про розщеплення
27.0083
2Russian (ru)
Теорема Гротендика о расщеплении
23.8653
3English (en)
Birkhoff–Grothendieck theorem
19.4827
4Korean (ko)
버코프-그로텐디크 정리
17.5007
5Chinese (zh)
伯克霍夫-格罗滕迪克定理
17.1493
6French (fr)
Théorème de Birkhoff-Grothendieck
5.3894
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Birkhoff–Grothendieck theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Birkhoff–Grothendieck theorem
52 091
2Russian (ru)
Теорема Гротендика о расщеплении
5 211
3Chinese (zh)
伯克霍夫-格罗滕迪克定理
985
4Ukrainian (uk)
Теорема Гротендіка про розщеплення
242
5Korean (ko)
버코프-그로텐디크 정리
187
6French (fr)
Théorème de Birkhoff-Grothendieck
49
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Birkhoff–Grothendieck theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Birkhoff–Grothendieck theorem
256
2Russian (ru)
Теорема Гротендика о расщеплении
55
3French (fr)
Théorème de Birkhoff-Grothendieck
36
4Chinese (zh)
伯克霍夫-格罗滕迪克定理
35
5Korean (ko)
버코프-그로텐디크 정리
5
6Ukrainian (uk)
Теорема Гротендіка про розщеплення
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Birkhoff–Grothendieck theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Birkhoff–Grothendieck theorem
26
2Ukrainian (uk)
Теорема Гротендіка про розщеплення
3
3Korean (ko)
버코프-그로텐디크 정리
2
4Russian (ru)
Теорема Гротендика о расщеплении
2
5Chinese (zh)
伯克霍夫-格罗滕迪克定理
2
6French (fr)
Théorème de Birkhoff-Grothendieck
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Birkhoff–Grothendieck theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Birkhoff–Grothendieck theorem
0
2French (fr)
Théorème de Birkhoff-Grothendieck
0
3Korean (ko)
버코프-그로텐디크 정리
0
4Russian (ru)
Теорема Гротендика о расщеплении
0
5Ukrainian (uk)
Теорема Гротендіка про розщеплення
0
6Chinese (zh)
伯克霍夫-格罗滕迪克定理
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Birkhoff–Grothendieck theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Birkhoff–Grothendieck theorem
89
2Russian (ru)
Теорема Гротендика о расщеплении
9
3French (fr)
Théorème de Birkhoff-Grothendieck
6
4Korean (ko)
버코프-그로텐디크 정리
3
5Ukrainian (uk)
Теорема Гротендіка про розщеплення
1
6Chinese (zh)
伯克霍夫-格罗滕迪克定理
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Birkhoff–Grothendieck theorem
frFrench
Théorème de Birkhoff-Grothendieck
koKorean
버코프-그로텐디크 정리
ruRussian
Теорема Гротендика о расщеплении
ukUkrainian
Теорема Гротендіка про розщеплення
zhChinese
伯克霍夫-格罗滕迪克定理

Popularity rank trends

Best Rank English:
#1004798
02.2008
Global:
#1535513
04.2010

AI rank trends

Best Rank English:
#137241
01.2009
Global:
#296490
05.2025

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Birkhoff–Grothendieck theorem from Wikipedia articles about Alexander Grothendieck, Splitting principle, Birkhoff factorization, Holomorphic vector bundle and List of things named after Alexander Grothendieck. Whereas reading the article about Birkhoff–Grothendieck theorem people most often go to Wikipedia articles on Birkhoff factorization, Tautological bundle, Proj construction, Holomorphic vector bundle and Jumping line.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information