Resolution of singularities

en

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Resolution of singularities

Quality:

Resolution of singularities - problem asking whether every algebraic variety V has a resolution. Article “Resolution of singularities” in English Wikipedia has 47.5 points for quality (as of July 1, 2025). The article contains 5 references and 37 sections.

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

Since the creation of article “Resolution of singularities”, its content was written by 55 registered users of English Wikipedia and edited by 60 registered Wikipedia users in all languages.

The article is cited 60 times in English Wikipedia and cited 81 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #118911 in October 2009
  • Global: #264810 in May 2018

The highest popularity rank from 2008:

  • Local (English): #252675 in January 2015
  • Global: #441601 in January 2015

There are 4 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
1English (en)
Resolution of singularities
47.5194
2Japanese (ja)
特異点解消
34.0205
3Persian (fa)
تحلیل تکینگی‌ها
23.4784
4Chinese (zh)
奇點解消
13.3942
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 "Resolution of singularities" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Resolution of singularities
223 604
2Japanese (ja)
特異点解消
11 097
3Chinese (zh)
奇點解消
7 871
4Persian (fa)
تحلیل تکینگی‌ها
1 310
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 "Resolution of singularities" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Resolution of singularities
1 276
2Japanese (ja)
特異点解消
307
3Chinese (zh)
奇點解消
124
4Persian (fa)
تحلیل تکینگی‌ها
5
More...

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

The highest AI

Language versions of the article "Resolution of singularities" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Resolution of singularities
55
2Chinese (zh)
奇點解消
3
3Persian (fa)
تحلیل تکینگی‌ها
1
4Japanese (ja)
特異点解消
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 "Resolution of singularities" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Resolution of singularities
0
2Persian (fa)
تحلیل تکینگی‌ها
0
3Japanese (ja)
特異点解消
0
4Chinese (zh)
奇點解消
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 "Resolution of singularities" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Resolution of singularities
60
2Japanese (ja)
特異点解消
17
3Persian (fa)
تحلیل تکینگی‌ها
2
4Chinese (zh)
奇點解消
2
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
Resolution of singularities
faPersian
تحلیل تکینگی‌ها
jaJapanese
特異点解消
zhChinese
奇點解消

Popularity rank trends

Best Rank English:
#252675
01.2015
Global:
#441601
01.2015

AI rank trends

Best Rank English:
#118911
10.2009
Global:
#264810
05.2018

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Resolution of singularities from Wikipedia articles about Blowing up, Heisuke Hironaka, List of long proofs, Aise Johan de Jong and Singular point of an algebraic variety. Whereas reading the article about Resolution of singularities people most often go to Wikipedia articles on Heisuke Hironaka, Blowing up, Birational geometry, Puiseux series and Proper 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 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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