f1几何中的强同余空间和维数

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-02-01 DOI:10.1016/j.jpaa.2025.107862

Manoel Jarra

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引用次数: 0

摘要

我们引入了强同余空间，它是一种拓扑空间，为单形方案提供了一个有用的维数概念。研究了它们的性质，证明了给定一个代数闭基上的复环单形方案，其强同余空间与其扇形相关的复环变簇具有相同的维数。

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Strong congruence spaces and dimension in F1-geometry

We introduce strong congruence spaces, which are topological spaces that provide a useful concept of dimension for monoid schemes. We study their properties and show that, given a toric monoid scheme over an algebraically closed basis, its strong congruence space and the complex toric variety associated to its fan have the same dimension.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.