关于格2的西格尔模形式的代数

Q2 Mathematics Transactions of the Moscow Mathematical Society Pub Date : 2014-04-09 DOI:10.1090/S0077-1554-2014-00217-X

E. Vinberg

{"title":"关于格2的西格尔模形式的代数","authors":"E. Vinberg","doi":"10.1090/S0077-1554-2014-00217-X","DOIUrl":null,"url":null,"abstract":"Using the methods of [11], we recover the old result of J. Igusa [3] saying that the algebra of even Siegel modular forms of genus 2 is freely generated by forms of weights 4, 6, 10, 12. We also determine the structure of the algebra of all Siegel modular forms of genus 2.","PeriodicalId":37924,"journal":{"name":"Transactions of the Moscow Mathematical Society","volume":"74 1","pages":"1-13"},"PeriodicalIF":0.0000,"publicationDate":"2014-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1090/S0077-1554-2014-00217-X","citationCount":"24","resultStr":"{\"title\":\"On the algebra of Siegel modular forms of genus 2\",\"authors\":\"E. Vinberg\",\"doi\":\"10.1090/S0077-1554-2014-00217-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the methods of [11], we recover the old result of J. Igusa [3] saying that the algebra of even Siegel modular forms of genus 2 is freely generated by forms of weights 4, 6, 10, 12. We also determine the structure of the algebra of all Siegel modular forms of genus 2.\",\"PeriodicalId\":37924,\"journal\":{\"name\":\"Transactions of the Moscow Mathematical Society\",\"volume\":\"74 1\",\"pages\":\"1-13\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-04-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1090/S0077-1554-2014-00217-X\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of the Moscow Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/S0077-1554-2014-00217-X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Moscow Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/S0077-1554-2014-00217-X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 24

摘要

利用[11]的方法，我们恢复了J. Igusa[3]的旧结果，即属2的偶Siegel模形式的代数是由权值4,6,10,12的形式自由生成的。我们还确定了属2的所有西格尔模形式的代数结构。

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

On the algebra of Siegel modular forms of genus 2

Using the methods of [11], we recover the old result of J. Igusa [3] saying that the algebra of even Siegel modular forms of genus 2 is freely generated by forms of weights 4, 6, 10, 12. We also determine the structure of the algebra of all Siegel modular forms of genus 2.

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

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

自引率

0.00%

发文量

期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.

期刊最新文献

On generalized Newton’s aerodynamic problem The asymptotic behaviour of cocycles over flows Holomorphic solutions of soliton equations Realizing integrable Hamiltonian systems by means of billiard books Letter to the Editors