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IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2023-11-20 DOI:10.4310/pamq.2023.v19.n4.a3

Ana Cannas da Silva

引用次数: 0

摘要

本文是为微分几何而写的，给出了如何从atiyah - bot - lefschetz公式推导Dedekind和Rademacher的互易律，以及这些互易律的n维推广，将该公式应用于加权投影空间上适当的椭圆复形上。

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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Dedekind sums via Atiyah–Bott–Lefschetz

This paper, written for differential geometers, shows how to deduce the reciprocity laws of Dedekind and Rademacher, as well as $n$-dimensional generalizations of these, from the Atiyah–Bott–Lefschetz formula, by applying this formula to appropriate elliptic complexes on weighted projective spaces.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.