Teorema de Riemann-Roch

Riemann–Roch theorem - theorem that the Euler characteristic of the sheaf cohomology of a holomorphic line bundle on a Riemann surface equals the degree of the bundle plus half of the Euler characteristic of the surface. Article “Teorema de Riemann-Roch” in Portuguese Wikipedia has 39.4 points for quality (as of July 1, 2026). The article contains 15 references and 19 sections.

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

Since the creation of article “Teorema de Riemann-Roch”, its content was written by 2 registered users of Portuguese Wikipedia and edited by 243 registered Wikipedia users in all languages.

The article is cited 7 times in Portuguese Wikipedia and cited 494 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Portuguese): #9014 in February 2026
• Global: #32094 in November 2003

The highest popularity rank from 2008:

• Local (Portuguese): #319441 in March 2026
• Global: #258655 in November 2014

There are 13 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, 2026 (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	English (en) Riemann–Roch theorem		44.9055
2	Portuguese (pt) Teorema de Riemann-Roch		39.4
3	Galician (gl) Teorema de Riemann-Roch		28.373
4	Russian (ru) Теорема Римана — Роха		23.7846
5	French (fr) Théorème de Riemann-Roch		22.5816
6	Japanese (ja) リーマン・ロッホの定理		21.4946
7	Chinese (zh) 黎曼-罗赫定理		16.9106
8	Korean (ko) 리만-로흐 정리		16.6564
9	Hebrew (he) משפט רימן-רוך		8.1171
10	German (de) Satz von Riemann-Roch		7.6199

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

The most popular language versions of the article "Teorema de Riemann-Roch" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Riemann–Roch theorem		591 448
2	Japanese (ja) リーマン・ロッホの定理		72 452
3	German (de) Satz von Riemann-Roch		50 953
4	French (fr) Théorème de Riemann-Roch		49 434
5	Chinese (zh) 黎曼-罗赫定理		25 447
6	Russian (ru) Теорема Римана — Роха		21 266
7	Hebrew (he) משפט רימן-רוך		9 929
8	Korean (ko) 리만-로흐 정리		9 117
9	Dutch (nl) Stelling van Riemann-Roch		4 511
10	Ukrainian (uk) Теорема Рімана — Роха		4 294

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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 "Teorema de Riemann-Roch" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Riemann–Roch theorem		3 010
2	Japanese (ja) リーマン・ロッホの定理		400
3	French (fr) Théorème de Riemann-Roch		236
4	Russian (ru) Теорема Римана — Роха		218
5	Chinese (zh) 黎曼-罗赫定理		151
6	German (de) Satz von Riemann-Roch		144
7	Korean (ko) 리만-로흐 정리		50
8	Dutch (nl) Stelling van Riemann-Roch		21
9	Portuguese (pt) Teorema de Riemann-Roch		16
10	Hebrew (he) משפט רימן-רוך		13

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

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

#	Language	AI award	Relative AI
1	English (en) Riemann–Roch theorem		96
2	German (de) Satz von Riemann-Roch		31
3	French (fr) Théorème de Riemann-Roch		30
4	Japanese (ja) リーマン・ロッホの定理		23
5	Hebrew (he) משפט רימן-רוך		15
6	Dutch (nl) Stelling van Riemann-Roch		13
7	Chinese (zh) 黎曼-罗赫定理		10
8	Russian (ru) Теорема Римана — Роха		9
9	Korean (ko) 리만-로흐 정리		5
10	Finnish (fi) Riemannin–Rochin lause		4

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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 "Teorema de Riemann-Roch" with the highest AI in June 2026

#	Language	AI award	Relative AI
1	English (en) Riemann–Roch theorem		2
2	Hebrew (he) משפט רימן-רוך		1
3	Chinese (zh) 黎曼-罗赫定理		1
4	German (de) Satz von Riemann-Roch		0
5	Finnish (fi) Riemannin–Rochin lause		0
6	French (fr) Théorème de Riemann-Roch		0
7	Galician (gl) Teorema de Riemann-Roch		0
8	Japanese (ja) リーマン・ロッホの定理		0
9	Korean (ko) 리만-로흐 정리		0
10	Dutch (nl) Stelling van Riemann-Roch		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 "Teorema de Riemann-Roch" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Riemann–Roch theorem		205
2	French (fr) Théorème de Riemann-Roch		61
3	Japanese (ja) リーマン・ロッホの定理		49
4	German (de) Satz von Riemann-Roch		38
5	Korean (ko) 리만-로흐 정리		37
6	Russian (ru) Теорема Римана — Роха		27
7	Ukrainian (uk) Теорема Рімана — Роха		18
8	Hebrew (he) משפט רימן-רוך		15
9	Dutch (nl) Stelling van Riemann-Roch		15
10	Chinese (zh) 黎曼-罗赫定理		14

More...

#	Language	Value
de	German Satz von Riemann-Roch
en	English Riemann–Roch theorem
fi	Finnish Riemannin–Rochin lause
fr	French Théorème de Riemann-Roch
gl	Galician Teorema de Riemann-Roch
he	Hebrew משפט רימן-רוך
ja	Japanese リーマン・ロッホの定理
ko	Korean 리만-로흐 정리
nl	Dutch Stelling van Riemann-Roch
pt	Portuguese Teorema de Riemann-Roch
ru	Russian Теорема Римана — Роха
uk	Ukrainian Теорема Рімана — Роха
zh	Chinese 黎曼-罗赫定理

Best Rank

Portuguese: #319441 03.2026

Global: #258655 11.2014

Best Rank

Portuguese: #9014 02.2026

Global: #32094 11.2003

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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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information