Grothendieck–Riemann–Roch theorem

Grothendieck–Hirzebruch–Riemann–Roch theorem - Result in algebraic geometry. Article “Grothendieck–Riemann–Roch theorem” in English Wikipedia has 35.5 points for quality (as of July 1, 2025). The article contains 11 references and 13 sections.

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

Since the creation of article “Grothendieck–Riemann–Roch theorem”, its content was written by 50 registered users of English Wikipedia and edited by 78 registered Wikipedia users in all languages.

The article is cited 88 times in English Wikipedia and cited 132 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #19251 in February 2005
• Global: #57505 in February 2005

The highest popularity rank from 2008:

• Local (English): #254809 in November 2014
• Global: #354214 in November 2014

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.

#	Language	Quality grade	Quality score
1	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		38.9818
2	English (en) Grothendieck–Riemann–Roch theorem		35.5196
3	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		33.0178
4	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		22.4928
5	Korean (ko) 그로텐디크-리만-로흐 정리		9.4713
6	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		3.1881

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

The most popular language versions of the article "Grothendieck–Riemann–Roch theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Grothendieck–Riemann–Roch theorem		241 593
2	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		20 832
3	Korean (ko) 그로텐디크-리만-로흐 정리		3 030
4	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		2 346
5	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		1 180
6	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		104

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

The most popular language versions of the article "Grothendieck–Riemann–Roch theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Grothendieck–Riemann–Roch theorem		1 983
2	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		162
3	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		53
4	Korean (ko) 그로텐디크-리만-로흐 정리		25
5	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		12
6	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		4

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

Language versions of the article "Grothendieck–Riemann–Roch theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Grothendieck–Riemann–Roch theorem		50
2	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		16
3	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		6
4	Korean (ko) 그로텐디크-리만-로흐 정리		3
5	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		2
6	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		1

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

Language versions of the article "Grothendieck–Riemann–Roch theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		1
2	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		0
3	English (en) Grothendieck–Riemann–Roch theorem		0
4	Korean (ko) 그로텐디크-리만-로흐 정리		0
5	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		0
6	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		0

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

Language versions of the article "Grothendieck–Riemann–Roch theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Grothendieck–Riemann–Roch theorem		88
2	French (fr) Théorème de Grothendieck-Hirzebruch-Riemann-Roch		20
3	Korean (ko) 그로텐디크-리만-로흐 정리		15
4	Dutch (nl) Stelling van Grothendieck-Hirzebruch-Riemann-Roch		6
5	Greek (el) Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς		2
6	Chinese (zh) 格罗滕迪克-黎曼-罗赫定理		1

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#	Language	Value
el	Greek Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς
en	English Grothendieck–Riemann–Roch theorem
fr	French Théorème de Grothendieck-Hirzebruch-Riemann-Roch
ko	Korean 그로텐디크-리만-로흐 정리
nl	Dutch Stelling van Grothendieck-Hirzebruch-Riemann-Roch
zh	Chinese 格罗滕迪克-黎曼-罗赫定理

Best Rank

English: #254809 11.2014

Global: #354214 11.2014

Best Rank

English: #19251 02.2005

Global: #57505 02.2005

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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