리만-로흐 정리

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 "리만-로흐 정리" in Korean Wikipedia has 15.8 points for quality (as of November 1, 2023). The article contains 3 references and 9 sections.

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

Since the creation of article "리만-로흐 정리", its content was written by 5 registered users of Korean Wikipedia and edited by 215 registered Wikipedia users in all languages.

The article is cited 30 times in Korean Wikipedia and cited 478 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Korean): #3276 in December 2018
• Global: #32048 in November 2003

The highest popularity rank from 2008:

• Local (Korean): #90480 in May 2022
• Global: #254870 in November 2014

There are 11 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

#	Language	Quality grade	Quality score
1	English (en) Riemann–Roch theorem		45.2793
2	Russian (ru) Теорема Римана — Роха		23.7757
3	Japanese (ja) リーマン・ロッホの定理		21.9727
4	Chinese (zh) 黎曼-罗赫定理		17.0584
5	Korean (ko) 리만-로흐 정리		15.8123
6	Hebrew (he) משפט רימן-רוך		8.2334
7	German (de) Satz von Riemann-Roch		7.6751
8	French (fr) Théorème de Riemann-Roch		7.1074
9	Ukrainian (uk) Теорема Рімана — Роха		3.543
10	Dutch (nl) Stelling van Riemann-Roch		1.3846

More...

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

The most popular language versions of the article "리만-로흐 정리" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Riemann–Roch theorem		477 741
2	Japanese (ja) リーマン・ロッホの定理		58 474
3	German (de) Satz von Riemann-Roch		45 242
4	French (fr) Théorème de Riemann-Roch		39 419
5	Chinese (zh) 黎曼-罗赫定理		20 592
6	Russian (ru) Теорема Римана — Роха		13 719
7	Hebrew (he) משפט רימן-רוך		9 201
8	Korean (ko) 리만-로흐 정리		7 363
9	Dutch (nl) Stelling van Riemann-Roch		4 053
10	Ukrainian (uk) Теорема Рімана — Роха		4 027

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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 "리만-로흐 정리" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Riemann–Roch theorem		3 860
2	Japanese (ja) リーマン・ロッホの定理		458
3	French (fr) Théorème de Riemann-Roch		307
4	German (de) Satz von Riemann-Roch		242
5	Russian (ru) Теорема Римана — Роха		239
6	Chinese (zh) 黎曼-罗赫定理		140
7	Korean (ko) 리만-로흐 정리		46
8	Dutch (nl) Stelling van Riemann-Roch		14
9	Ukrainian (uk) Теорема Рімана — Роха		13
10	Hebrew (he) משפט רימן-רוך		11

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

Language versions of the article "리만-로흐 정리" 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		87
2	German (de) Satz von Riemann-Roch		28
3	French (fr) Théorème de Riemann-Roch		23
4	Japanese (ja) リーマン・ロッホの定理		23
5	Hebrew (he) משפט רימן-רוך		13
6	Dutch (nl) Stelling van Riemann-Roch		12
7	Chinese (zh) 黎曼-罗赫定理		9
8	Russian (ru) Теорема Римана — Роха		8
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 "리만-로흐 정리" with the highest AI in October 2023

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

#	Language	CI award	Relative CI
1	English (en) Riemann–Roch theorem		218
2	French (fr) Théorème de Riemann-Roch		57
3	Japanese (ja) リーマン・ロッホの定理		48
4	German (de) Satz von Riemann-Roch		37
5	Korean (ko) 리만-로흐 정리		30
6	Russian (ru) Теорема Римана — Роха		26
7	Hebrew (he) משפט רימן-רוך		17
8	Ukrainian (uk) Теорема Рімана — Роха		16
9	Dutch (nl) Stelling van Riemann-Roch		14
10	Chinese (zh) 黎曼-罗赫定理		12

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
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
ru	Russian Теорема Римана — Роха
uk	Ukrainian Теорема Рімана — Роха
zh	Chinese 黎曼-罗赫定理

Best Rank

Korean: #90480 05.2022

Global: #254870 11.2014

Best Rank

Korean: #3276 12.2018

Global: #32048 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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information