Toric variety

en

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Toric variety

Quality:

Toric variety - algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety, which can be combinatorially encoded via systems of cones (“fans”) or polytopes. Article “Toric variety” in English Wikipedia has 30.5 points for quality (as of July 1, 2025). The article contains 6 references and 18 sections.

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

In June 2025 the article “Toric variety” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Toric variety”, its content was written by 37 registered users of English Wikipedia and edited by 76 registered Wikipedia users in all languages.

The article is cited 77 times in English Wikipedia and cited 134 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #39393 in September 2024
  • Global: #114993 in June 2004

The highest popularity rank from 2008:

  • Local (English): #481896 in July 2008
  • Global: #767751 in July 2008

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
1German (de)
Torische Varietät
50.3705
2Korean (ko)
원환 다양체
35.4283
3Hebrew (he)
יריעה טורית
32.0887
4English (en)
Toric variety
30.4696
5Japanese (ja)
トーリック多様体
14.6734
6Russian (ru)
Торическое многообразие
5.2785
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 "Toric variety" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Toric variety
207 526
2Japanese (ja)
トーリック多様体
16 825
3German (de)
Torische Varietät
11 382
4Russian (ru)
Торическое многообразие
4 326
5Korean (ko)
원환 다양체
3 537
6Hebrew (he)
יריעה טורית
1 686
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 "Toric variety" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Toric variety
1 414
2Japanese (ja)
トーリック多様体
211
3German (de)
Torische Varietät
70
4Russian (ru)
Торическое многообразие
42
5Korean (ko)
원환 다양체
22
6Hebrew (he)
יריעה טורית
7
More...

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

The highest AI

Language versions of the article "Toric variety" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Toric variety
37
2German (de)
Torische Varietät
16
3Japanese (ja)
トーリック多様体
10
4Hebrew (he)
יריעה טורית
8
5Korean (ko)
원환 다양체
3
6Russian (ru)
Торическое многообразие
2
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 "Toric variety" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Toric variety
1
2Hebrew (he)
יריעה טורית
1
3German (de)
Torische Varietät
0
4Japanese (ja)
トーリック多様体
0
5Korean (ko)
원환 다양체
0
6Russian (ru)
Торическое многообразие
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 "Toric variety" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Toric variety
77
2German (de)
Torische Varietät
22
3Japanese (ja)
トーリック多様体
10
4Hebrew (he)
יריעה טורית
9
5Korean (ko)
원환 다양체
8
6Russian (ru)
Торическое многообразие
8
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
deGerman
Torische Varietät
enEnglish
Toric variety
heHebrew
יריעה טורית
jaJapanese
トーリック多様体
koKorean
원환 다양체
ruRussian
Торическое многообразие

Popularity rank trends

Best Rank English:
#481896
07.2008
Global:
#767751
07.2008

AI rank trends

Best Rank English:
#39393
09.2024
Global:
#114993
06.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Toric variety from Wikipedia articles about Algebraic torus, Cox ring, Discrete geometry, Toric manifold and Algebraic variety. Whereas reading the article about Toric variety people most often go to Wikipedia articles on Algebraic torus, Algebraic variety, Mirror symmetry, Combinatorial mirror symmetry and Gordans lemma.

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