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Computing singular elements modulo squares
arXiv - CS - Symbolic Computation Pub Date : 2020-08-24 , DOI: arxiv-2008.10335 Przemys{\l}aw Koprowski
arXiv - CS - Symbolic Computation Pub Date : 2020-08-24 , DOI: arxiv-2008.10335 Przemys{\l}aw Koprowski
The group of singular elements was first introduced by Helmut Hasse and later
it has been studied by numerous authors including such well known
mathematicians as: Cassels, Furtw\"{a}ngler, Hecke, Knebusch, Takagi and of
course Hasse himself; to name just a few. The aim of the present paper is to
present algorithms that explicitly construct groups of singular and
$S$-singular elements (modulo squares) in a global function field.
中文翻译:
计算奇异元素模平方
奇异元素群首先由 Helmut Hasse 引入,后来被众多作者研究,包括著名的数学家,如:Cassels、Furtw\"{a}ngler、Hecke、Knebusch、Takagi,当然还有 Hasse 本人;举个例子只是一些。本文的目的是提出在全局函数域中显式构造奇异元素和$S$-奇异元素(模平方)组的算法。
更新日期:2020-08-25
中文翻译:
计算奇异元素模平方
奇异元素群首先由 Helmut Hasse 引入,后来被众多作者研究,包括著名的数学家,如:Cassels、Furtw\"{a}ngler、Hecke、Knebusch、Takagi,当然还有 Hasse 本人;举个例子只是一些。本文的目的是提出在全局函数域中显式构造奇异元素和$S$-奇异元素(模平方)组的算法。