带字符的$\ mathm {O}(2,4;\mathbb{Z})$的模形式环

IF 0.6 4区数学 Q3 MATHEMATICS Hokkaido Mathematical Journal Pub Date : 2020-05-01 DOI:10.14492/hokmj/2020-355

Atsuhira Nagano, K. Ueda

{"title":"带字符的$\\ mathm {O}(2,4;\\mathbb{Z})$的模形式环","authors":"Atsuhira Nagano, K. Ueda","doi":"10.14492/hokmj/2020-355","DOIUrl":null,"url":null,"abstract":"We show that the ring of modular forms with characters for $\\mathrm{O}(2,4;\\mathbb{Z})$ is generated by forms of weights 4, 4, 6, 8, 10, 10, 12, and 30 with three relations of weights 8, 20, and 60. The proof is based on the study of a moduli space of K3 surfaces.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The ring of modular forms of $\\\\mathrm{O}(2,4;\\\\mathbb{Z})$ with characters\",\"authors\":\"Atsuhira Nagano, K. Ueda\",\"doi\":\"10.14492/hokmj/2020-355\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the ring of modular forms with characters for $\\\\mathrm{O}(2,4;\\\\mathbb{Z})$ is generated by forms of weights 4, 4, 6, 8, 10, 10, 12, and 30 with three relations of weights 8, 20, and 60. The proof is based on the study of a moduli space of K3 surfaces.\",\"PeriodicalId\":55051,\"journal\":{\"name\":\"Hokkaido Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2020-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hokkaido Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.14492/hokmj/2020-355\",\"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":"Hokkaido Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.14492/hokmj/2020-355","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: 2

摘要

我们证明了$\ mathm {O}(2,4;\mathbb{Z})$的模形式环是由权重4,4,6,8,10,10,12和30的形式生成的，它们具有权重8,20和60的三个关系。这个证明是基于对K3曲面的模空间的研究。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The ring of modular forms of $\mathrm{O}(2,4;\mathbb{Z})$ with characters

We show that the ring of modular forms with characters for $\mathrm{O}(2,4;\mathbb{Z})$ is generated by forms of weights 4, 4, 6, 8, 10, 10, 12, and 30 with three relations of weights 8, 20, and 60. The proof is based on the study of a moduli space of K3 surfaces.

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

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.