A closer look at Witt rings for forms of higher degree

2024/03/22 by Susanne Pumpluen, Pumpluen, Susanne
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2403.15287

openalex publication_date 2024/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Witt rings for nondegenerate forms φ 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 φ of degree d.

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