Marth, Evan2026-05-052026-05-052026-05-05http://hdl.handle.net/10393/51607https://doi.org/10.20381/ruor-31910Let $A$ be a central simple algebra over an arbitrary field $F$. Associated to $A$, there is a twisted Milnor hypersurface $X(A)$. Given an element $\alpha \in A$ which generates a Galois extension $L$ of $F$ with $[L: F] = \deg A$, we construct a hyperplane section $Y(A, \alpha)$ of $X(A)$ and give a motivic decomposition for $Y(A, \alpha)$. This generalises work of Xiong and Zainoulline.enAttribution-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-sa/4.0/Chow MotivesTwisted FormsThesis