整数格电路的行列式公式

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2021-01-01 DOI:10.2478/aupcsm-2021-0008

Hossein Sabzrou

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引用次数: 0

摘要

摘要:设L是一个定义矩阵b的在n中的不一定饱和的格，我们用b的极大次元显式地计算了L的一组电路。这有各种各样的应用，从环几何到热带几何，从Gröbner到Graver基，从线性到二项式理想。

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A determinantal formula for circuits of integer lattices

Abstract Let L be a not necessarily saturated lattice in ℤn with a defining matrix B. We explicitly compute the set of circuits of L in terms of maximal minors of B. This has a variety of applications from toric to tropical geometry, from Gröbner to Graver bases, and from linear to binomial ideals.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks