Dualité de Serre

fr

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Dualité de Serre

Quality:

Serre duality - duality for holomorphic vector bundles on a compact complex manifold induced by a dualizing sheaf. Article “Dualité de Serre” in French Wikipedia has 16 points for quality (as of July 1, 2025). The article contains 7 references and 10 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (French) language version.

Since the creation of article “Dualité de Serre”, its content was written by 7 registered users of French Wikipedia and edited by 55 registered Wikipedia users in all languages.

The article is cited 29 times in French Wikipedia and cited 112 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #9457 in July 2023
  • Global: #34076 in November 2003

The highest popularity rank from 2008:

  • Local (French): #610154 in June 2025
  • Global: #937116 in April 2025

There are 5 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
1English (en)
Serre duality
27.236
2French (fr)
Dualité de Serre
16.0151
3Romanian (ro)
Dualitatea Serre
14.5593
4Korean (ko)
세르 쌍대성
9.7067
5Japanese (ja)
セール双対性
5.0979
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 "Dualité de Serre" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Serre duality
148 700
2Japanese (ja)
セール双対性
11 641
3Korean (ko)
세르 쌍대성
4 797
4French (fr)
Dualité de Serre
1 280
5Romanian (ro)
Dualitatea Serre
53
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 "Dualité de Serre" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Serre duality
1 170
2Japanese (ja)
セール双対性
115
3French (fr)
Dualité de Serre
81
4Korean (ko)
세르 쌍대성
14
5Romanian (ro)
Dualitatea Serre
11
More...

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

The highest AI

Language versions of the article "Dualité de Serre" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Serre duality
35
2French (fr)
Dualité de Serre
7
3Japanese (ja)
セール双対性
6
4Korean (ko)
세르 쌍대성
4
5Romanian (ro)
Dualitatea Serre
3
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 "Dualité de Serre" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Serre duality
0
2French (fr)
Dualité de Serre
0
3Japanese (ja)
セール双対性
0
4Korean (ko)
세르 쌍대성
0
5Romanian (ro)
Dualitatea Serre
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 "Dualité de Serre" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Serre duality
46
2French (fr)
Dualité de Serre
29
3Japanese (ja)
セール双対性
18
4Korean (ko)
세르 쌍대성
18
5Romanian (ro)
Dualitatea Serre
1
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
enEnglish
Serre duality
frFrench
Dualité de Serre
jaJapanese
セール双対性
koKorean
세르 쌍대성
roRomanian
Dualitatea Serre

Popularity rank trends

Best Rank French:
#610154
06.2025
Global:
#937116
04.2025

AI rank trends

Best Rank French:
#9457
07.2023
Global:
#34076
11.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Serre duality from Wikipedia articles about Riemann–Roch theorem, Hodge theory, Canonical bundle, Dolbeault cohomology and Coherent duality. Whereas reading the article about Serre duality people most often go to Wikipedia articles on Jean-Pierre Serre, Coherent duality, Poincaré duality, Coherent sheaf cohomology and Coherent sheaf.

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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In French Wikipedia the most popular articles on that day were: Violette Leduc, Femtogo, Soudan du Sud, XXX, Iran, Adriana Karembeu, Conflit américano-israélo-iranien de 2026, Erica (série télévisée), Michel-Ange, Catherine Vautrin.

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