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arXiv · 2403.15287

A closer look at Witt rings for forms of higher degree

Susanne Pumpluen
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Abstract

Witt rings for nondegenerate forms $\varphi$ of degree $d$ over a field of characteristic 0 or greater than $d$ were defined by Harrison and Pareigis. We revisit and discuss their definition as well as some special cases, classify the $H$-forms employed in their definition, and define Witt rings of diagonal forms of degree $d$. We also define two new Witt rings for nondegenerate forms $\varphi$ of degree $d$.

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Susanne Pumpluen. 2024-03-22. A closer look at Witt rings for forms of higher degree. https://arxiv.org/abs/2403.15287

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