Witt rings, Pfister forms, and equivariant birational geometry
Abstract
We study equivariant birational geometry of quadrics with actions of finite groups and develop analogs of Witt groups and Pfister theory in the equivariant context.
Disclosure
“29284. The second author was partially supported by NSF grant 2301983. We are grateful to Candace Bethea for conversa- tions that informed this project, and to Barry Mazur for suggestions on a draft of this paper. We used MAGMA [BCP97] and Gemini for computations informing our results, and ChatGPT and Claude to proofread the text. 2. Equivariant birational geometry We recall main terms and constructions in equivariant birational geometry; for a more detailed discu”
PDF page 2
- Classification
- Computational experiments or data processing
- Multiplier
- 3
- Verified
Structural counts
Pages 46 pdf
Theorems 0 source
Lemmas 0 source
Propositions 23 source
Corollaries 4 source
Definitions 9 source
Displayed equations 259 source
Bibliography entries 38 source
Appendix pages 3 estimated
Count notes
- Source counts use the expanded primary TeX file MainPfisterEquivariant.tex.
- Appendix pages include the first PDF page with an explicit Appendix heading through the final page.