{"title":"The Rationality of the Moduli Space of Two-pointed Ineffective Spin Hyperelliptic Curves","authors":"Francesco Zucconi","doi":"10.1093/qmath/haab006","DOIUrl":null,"url":null,"abstract":"By the geometry of the 3-fold quadric, we show that the coarse moduli space of genus g ineffective spin hyperelliptic curves with two marked points is a rational variety for every g ≥ 2.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":"72 4","pages":"1329-1356"},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://ieeexplore.ieee.org/document/9690909/","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
By the geometry of the 3-fold quadric, we show that the coarse moduli space of genus g ineffective spin hyperelliptic curves with two marked points is a rational variety for every g ≥ 2.
期刊介绍：
The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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