链式引理，二次型和符号长度

IF 0.4 4区数学 Q4 MATHEMATICS Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2023-09-30 DOI:10.36045/j.bbms.230123

Adam Chapman, Ilan Levin

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引用次数: 0

摘要

我们想要限定${_{2^{m-1}}Br}(F)$中由$2^m$次的5或6个循环代数的张量积表示的类的符号长度。其主要成分是二次型的链式引理，广义Clifford不变量的一种形式，以及fister和Rost在I^ 3f $中对12维和14维形式的描述。

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Chain Lemma, Quadratic Forms and Symbol Length

We want to bound the symbol length of classes in ${_{2^{m-1}}Br}(F)$ which are represented by tensor products of 5 or 6 cyclic algebras of degree $2^m$. The main ingredients are the chain lemma for quadratic forms, a form of a generalized Clifford invariant and Pfister's and Rost's descriptions of 12- and 14-dimensional forms in $I^3 F$.

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来源期刊

Bulletin of the Belgian Mathematical Society-Simon Stevin 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Belgian Mathematical Society - Simon Stevin (BBMS) is a peer-reviewed journal devoted to recent developments in all areas in pure and applied mathematics. It is published as one yearly volume, containing five issues. The main focus lies on high level original research papers. They should aim to a broader mathematical audience in the sense that a well-written introduction is attractive to mathematicians outside the circle of experts in the subject, bringing motivation, background information, history and philosophy. The content has to be substantial enough: short one-small-result papers will not be taken into account in general, unless there are some particular arguments motivating publication, like an original point of view, a new short proof of a famous result etc. The BBMS also publishes expository papers that bring the state of the art of a current mainstream topic in mathematics. Here it is even more important that at leat a substantial part of the paper is accessible to a broader audience of mathematicians. The BBMS publishes papers in English, Dutch, French and German. All papers should have an abstract in English.