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arXiv 1604.04733math.RA
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辛对合、二次对与二次曲线的函数域

Symplectic Involutions, quadratic pairs and function fields of conics

Andrew Dolphin, Anne Quéguiner-Mathieu

摘要:

本文研究了二次曲线函数域上成为双曲的辛对合和二次对。特别地,我们对它们进行了4次分类,并推出了关于5维极小二次型的结果,从而将文[24]中的一些结果推广到任意域,这些结果只知道特征不同于2.

英文摘要:

In this paper we study symplectic involutions and quadratic pairs that become hyperbolic over the function field of a conic. In particular, we classify them in degree 4 and deduce results on 5 dimensional minimal quadratic forms, thus extending to arbitrary fields some results of [24], which were only known in characteristic different from 2.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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