Forms in $I_q^3F$ and their symbol length in $H_2^3(F)$

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2025年9月8日

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Adam Chapman,
Ahmed Laghribi,
Diksha Mukhija

摘要

Let F be a field of characteristic 2. We obtain upper bounds on the symbol length of classes in $H_2^3(F)$ $H_{2}^{3} (F)$ of forms in $I_q^3 F$ $I_{q}^{3} F$ of any prescribed (even) dimension. We also discuss the 3-Pfister number of forms in $I^3_qF$ $I_{q}^{3} F$ of dimension $\leqslant 14$ $⩽ 14$ .

Forms in \(I_q^3F\) and their symbol length in \(H_2^3(F)\)

摘要