{"title":"Rational cohomology of \n \n \n M\n \n 4\n ,\n 1\n \n \n $\\mathcal {M}_{4,1}$","authors":"Yiu Man Wong, Angelina Zheng","doi":"10.1002/mana.202400294","DOIUrl":null,"url":null,"abstract":"<p>We compute the rational cohomology of the moduli space <span></span><math>\n <semantics>\n <msub>\n <mi>M</mi>\n <mrow>\n <mn>4</mn>\n <mo>,</mo>\n <mn>1</mn>\n </mrow>\n </msub>\n <annotation>$\\mathcal {M}_{4,1}$</annotation>\n </semantics></math> of nonsingular genus 4 curves with one marked point, using Gorinov–Vassiliev's method.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"298 3","pages":"1041-1061"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.202400294","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202400294","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 compute the rational cohomology of the moduli space of nonsingular genus 4 curves with one marked point, using Gorinov–Vassiliev's method.
期刊介绍:
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index