Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov
{"title":"Erratum: Symplectic involutions of \n \n \n K\n \n 3\n \n [\n n\n ]\n \n \n \n $K3^{[n]}$\n type and Kummer n type manifolds","authors":"Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov","doi":"10.1112/blms.70128","DOIUrl":null,"url":null,"abstract":"<p>In this note, we present a corrected formula for the enumeration of connected components of the locus fixed by a symplectic involution inside hyperkähler manifolds of types <span></span><math>\n <semantics>\n <mrow>\n <mi>K</mi>\n <msup>\n <mn>3</mn>\n <mrow>\n <mo>[</mo>\n <mi>n</mi>\n <mo>]</mo>\n </mrow>\n </msup>\n </mrow>\n <annotation>$K3^{[n]}$</annotation>\n </semantics></math> and generalized Kummer. We also provide further precisions concerning the involutions considered in the Kummer case.</p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"57 7","pages":"2235-2237"},"PeriodicalIF":0.9000,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/blms.70128","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/blms.70128","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
In this note, we present a corrected formula for the enumeration of connected components of the locus fixed by a symplectic involution inside hyperkähler manifolds of types and generalized Kummer. We also provide further precisions concerning the involutions considered in the Kummer case.