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

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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。

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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.

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来源期刊

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

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