modell - weil型群中带系数多项式的算法

IF 0.5 Q3 MATHEMATICS

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2023-09-15 DOI:10.7169/facm/2105

Stefan Barańczuk

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引用次数: 0

摘要

本文证明了数域上modell - weil型群中带系数多项式的Hasse原理。这类群的例子有:(1)数域上$S$-单位群，(2)具有平凡自同态环的阿贝尔变群，以及(3)奇代数$K$-理论群。

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On the arithmetic of polynomials with coefficients in Mordell-Weil type groups

In this paper we prove the Hasse principle for polynomials with coefficients in Mordell-Weil type groups over number fields. Examples of such groups are (1) the groups of $S$-units in a number field, (2) abelian varieties with trivial ring of endomorphisms, and (3) odd algebraic $K$-theory groups.

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来源期刊

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI MATHEMATICS-

CiteScore

0.80

自引率

20.00%

发文量