Minimal model program

en

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Minimal model program

Quality:

Minimal model program - branch of birational geometry aiming to construct the simplest birational model of a projective variety. Article “Minimal model program” in English Wikipedia has 12.1 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article “Minimal model program”, its content was written by 24 registered users of English Wikipedia and edited by 46 registered Wikipedia users in all languages.

The article is cited 55 times in English Wikipedia and cited 88 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #129971 in May 2018
  • Global: #294147 in August 2022

The highest popularity rank from 2008:

  • Local (English): #324101 in December 2017
  • Global: #522293 in December 2017

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
1Japanese (ja)
極小モデル
30.3333
2English (en)
Minimal model program
12.0954
3Russian (ru)
Программа минимальных моделей
8.9246
4Ukrainian (uk)
Програма мінімальних моделей
8.6562
5Korean (ko)
극소 모형 프로그램
7.0678
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 "Minimal model program" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Minimal model program
121 153
2Japanese (ja)
極小モデル
31 096
3Russian (ru)
Программа минимальных моделей
3 036
4Korean (ko)
극소 모형 프로그램
236
5Ukrainian (uk)
Програма мінімальних моделей
139
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 "Minimal model program" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Minimal model program
994
2Japanese (ja)
極小モデル
198
3Russian (ru)
Программа минимальных моделей
23
4Korean (ko)
극소 모형 프로그램
12
5Ukrainian (uk)
Програма мінімальних моделей
6
More...

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

The highest AI

Language versions of the article "Minimal model program" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Minimal model program
24
2Japanese (ja)
極小モデル
13
3Russian (ru)
Программа минимальных моделей
5
4Ukrainian (uk)
Програма мінімальних моделей
3
5Korean (ko)
극소 모형 프로그램
1
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 "Minimal model program" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Minimal model program
0
2Japanese (ja)
極小モデル
0
3Korean (ko)
극소 모형 프로그램
0
4Russian (ru)
Программа минимальных моделей
0
5Ukrainian (uk)
Програма мінімальних моделей
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 "Minimal model program" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Minimal model program
55
2Japanese (ja)
極小モデル
18
3Russian (ru)
Программа минимальных моделей
8
4Korean (ko)
극소 모형 프로그램
4
5Ukrainian (uk)
Програма мінімальних моделей
3
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
enEnglish
Minimal model program
jaJapanese
極小モデル
koKorean
극소 모형 프로그램
ruRussian
Программа минимальных моделей
ukUkrainian
Програма мінімальних моделей

Popularity rank trends

Best Rank English:
#324101
12.2017
Global:
#522293
12.2017

AI rank trends

Best Rank English:
#129971
05.2018
Global:
#294147
08.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Minimal model program from Wikipedia articles about Shigefumi Mori, Fields medal, Minimal model, 3-fold and Birational geometry. Whereas reading the article about Minimal model program people most often go to Wikipedia articles on Birational geometry, Abundance conjecture, Nef line bundle, Enriques–Kodaira classification and Shigefumi Mori.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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