从最小自由决议计算有限秩环的结构常数

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2024-04-03 DOI:10.4310/mrl.2023.v30.n4.a2

Tom Fisher, Lazar Radičević

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引用次数: 0

摘要

我们展示了在维数为 $n-2$ 的投影空间中，一组一般位置的 $n$ 点的最小自由分辨率如何明确地决定了秩为 $n$ 的环的结构常数。这推广了先前已知的列维-德隆-法迪夫和巴尔加瓦在 $n = 3、4、5$ 情况下的构造。

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Computing structure constants for rings of finite rank from minimal free resolutions

We show how the minimal free resolution of a set of $n$ points in general position in projective space of dimension $n-2$ explicitly determines structure constants for a ring of rank $n$. This generalises previously known constructions of Levi–Delone–Faddeev and Bhargava in the cases $n = 3, 4, 5$.

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.