3 problems

Let $A$ be a 3-dimensional Sklyanin algebra, and let $\tau$ be a torsion point of order $n$ on its associated elliptic curve, with $(n,3)=3$. Consider the simple finite-dimensional…

Let $A_\varepsilon$ be the skew quadric hypersurface and let $S_\varepsilon$ be the associated graded algebra. Let $\mathcal{E}_\varepsilon$ be the point scheme of $S_\varepsilon$,…

Let $X$ be a scheme over an ordinary commutative ring $S$, let $p:X\rightarrow\operatorname{Spec} S$ be the structure morphism, and let $\alpha\in\operatorname{Br}(S)$. Write…