论文标题

最高扭转形式

Supreme Torsion Forms

论文作者

Lorenz, Nico

论文摘要

我们研究具有各向异性扭转形式的正式真实的,非二氧化碳的田地,其中包含每种各向异性扭转形式。我们会为某些不变的和构建示例的某些不变式和witt环带来后果。我们获得了一种类似于Karim Becher介绍的最高pfister形式理论的理论,并看到示例,其中正式真实领域的毕达哥拉斯数与非真实领域的水平类似。

We study formally real, non-pythagorean fields which have an anisotropic torsion form that contains every anisotropic torsion form as a subform. We obtain consequences for certain invariants and the Witt ring of such fields and construct examples. We obtain a theory analogous to the theory of supreme Pfister forms introduced by Karim Becher and see examples in which the Pythagoras number for formally real fields behaves like the level for nonreal fields.

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