{"title":"On the canonicity of the singularities of quotients of the Fulton-MacPherson compactification","authors":"Sophie Kriz","doi":"10.1090/proc/16859","DOIUrl":null,"url":null,"abstract":"<p>We prove that quotients of the Fulton-MacPherson compactification of configuration spaces of smooth projective varieties of dimension <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"greater-than 1\"> <mml:semantics> <mml:mrow> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> by permutation groups have canonical singularities.</p>","PeriodicalId":20696,"journal":{"name":"Proceedings of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the American Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/proc/16859","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that quotients of the Fulton-MacPherson compactification of configuration spaces of smooth projective varieties of dimension >1>1 by permutation groups have canonical singularities.
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