具有扭场的亏格一曲线的模

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2019-06-25 DOI:10.4310/ajm.2021.v25.n5.a4

Y. Hu, J. Niu

{"title":"具有扭场的亏格一曲线的模","authors":"Y. Hu, J. Niu","doi":"10.4310/ajm.2021.v25.n5.a4","DOIUrl":null,"url":null,"abstract":"We construct a smooth moduli stack of genus one weighted curves with twisted fields. We show the moduli is isomorphic to Hu-Li's blowup stack of the moduli of genus one weighted curves. This leads to a modular interpretation of Vakil-Zinger's desingularization of the moduli of genus one stable maps to projective spaces. Our results should extend to resolutions of the moduli of stable maps of higher genera.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2019-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Moduli of curves of genus one with twisted fields\",\"authors\":\"Y. Hu, J. Niu\",\"doi\":\"10.4310/ajm.2021.v25.n5.a4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct a smooth moduli stack of genus one weighted curves with twisted fields. We show the moduli is isomorphic to Hu-Li's blowup stack of the moduli of genus one weighted curves. This leads to a modular interpretation of Vakil-Zinger's desingularization of the moduli of genus one stable maps to projective spaces. Our results should extend to resolutions of the moduli of stable maps of higher genera.\",\"PeriodicalId\":55452,\"journal\":{\"name\":\"Asian Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2019-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/ajm.2021.v25.n5.a4\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ajm.2021.v25.n5.a4","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: 5

摘要

我们构造了具有扭曲场的亏格一权曲线的光滑模堆栈。我们证明了该模同构于亏格一权曲线的模的Hu-Li的blow-up堆栈。这导致了Vakil-Zinger对亏格一稳定映射到投影空间的模的去语言化的模块化解释。我们的结果应该扩展到更高属的稳定映射的模的分辨率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Moduli of curves of genus one with twisted fields

We construct a smooth moduli stack of genus one weighted curves with twisted fields. We show the moduli is isomorphic to Hu-Li's blowup stack of the moduli of genus one weighted curves. This leads to a modular interpretation of Vakil-Zinger's desingularization of the moduli of genus one stable maps to projective spaces. Our results should extend to resolutions of the moduli of stable maps of higher genera.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊