Witt equivalence of function fields of conics

• Datum: 2020
• Hauptverfasser: Gladki, P., Marshall, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2020
• Schlagworte: symmetric bilinear forms; quadratic forms; Witt equivalence of fields; function fields; conic sections; valuations; Abhyankar valuations; Primary 11E81; 12J20; Secondary 11E04; 11E12
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1271
• Назва журналу: Algebra and Discrete Mathematics

Two fields are Witt equivalent if, roughly speaking, they have the same quadratic form theory. Formally, that is to say that their Witt rings of symmetric bilinear forms are isomorphic. This equivalence is well understood only in a few rather specific classes of fields. Two such classes, namely func...