在映射下的码多项式的图像上

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2008-03-31 DOI:10.1215/KJM/1250271322

M. Oura, R. Manni

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引用次数: 12

摘要

映射将代码多项式发送到偶数权值的西格尔模形式环中。图像的显式描述已知为g≤3，映射的满射性随之而来。相反，我们知道这个映射对于g≥5不是满射。本文讨论了相关投影变量之间嵌入的可能性。我们证明了g≥4时这是不可能的，因此我们得到了g = 4时分级环的非满性。

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 image of code polynomials under theta map

The theta map sends code polynomials into the ring of Siegel modular forms of even weights. Explicit description of the image is known for g ≤ 3 and the surjectivity of the theta map follows. Instead it is known that this map is not surjective for g ≥ 5. In this paper we discuss the possibility of an embedding between the associated projective varieties. We prove that this is not possible for g ≥ 4 and consequently we get the non surjectivity of the graded rings for the remaining case g = 4.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.