Smooth morphism

en

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Smooth morphism

Quality:

Smooth morphism - notion in algebraic geometry. Article “Smooth morphism” in English Wikipedia has 22.3 points for quality (as of July 1, 2025). The article contains 0 references and 14 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.17 points.

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

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

Since the creation of article “Smooth morphism”, its content was written by 19 registered users of English Wikipedia and edited by 26 registered Wikipedia users in all languages.

The article is cited 60 times in English Wikipedia and cited 120 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #125691 in September 2017
  • Global: #249832 in August 2017

The highest popularity rank from 2008:

  • Local (English): #829502 in February 2014
  • Global: #1486620 in March 2014

There are 3 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
1Korean (ko)
매끄러운 사상
28.1319
2English (en)
Smooth morphism
22.2999
3Japanese (ja)
滑らかな射
10.5957
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 "Smooth morphism" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Smooth morphism
66 611
2Korean (ko)
매끄러운 사상
4 112
3Japanese (ja)
滑らかな射
1 458
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 "Smooth morphism" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Smooth morphism
379
2Japanese (ja)
滑らかな射
32
3Korean (ko)
매끄러운 사상
26
More...

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

The highest AI

Language versions of the article "Smooth morphism" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Smooth morphism
19
2Japanese (ja)
滑らかな射
4
3Korean (ko)
매끄러운 사상
3
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 "Smooth morphism" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Smooth morphism
1
2Japanese (ja)
滑らかな射
0
3Korean (ko)
매끄러운 사상
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 "Smooth morphism" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Smooth morphism
60
2Korean (ko)
매끄러운 사상
51
3Japanese (ja)
滑らかな射
9
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
Smooth morphism
jaJapanese
滑らかな射
koKorean
매끄러운 사상

Popularity rank trends

Best Rank English:
#829502
02.2014
Global:
#1486620
03.2014

AI rank trends

Best Rank English:
#125691
09.2017
Global:
#249832
08.2017

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Smooth morphism from Wikipedia articles about étale morphism, Formally étale morphism, Smooth scheme, Geometrically regular ring and Glossary of algebraic geometry. Whereas reading the article about Smooth morphism people most often go to Wikipedia articles on Glossary of algebraic geometry, Flat morphism, Smooth scheme, Formally smooth map and étale morphism.

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