English

A closer look at Witt rings for forms of higher degree

Rings and Algebras 2024-07-15 v2

Abstract

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

Keywords

Cite

@article{arxiv.2403.15287,
  title  = {A closer look at Witt rings for forms of higher degree},
  author = {Susanne Pumpluen},
  journal= {arXiv preprint arXiv:2403.15287},
  year   = {2024}
}