5 problems

Let $\mathcal{Q} \to S$ be a quadric fibration that is not too singular. Let $\mathcal{C}l_0$ denote its even Clifford algebra and $\mathcal{Z}(\mathcal{C}l_0)$ its center. Let…

Let $p:\mathfrak{Q}\to S$ be a quadric fibration of relative dimension $n+1$ over a smooth base, with fibers $\mathfrak{Q}_s$ of rank at least $4$, where $n$ is odd. Let…

Let $Y$ be a smooth cubic $n$-fold containing a $k$-plane $\varPi_0 \subseteq Y$. The quadric fibration … defines a sheaf of Clifford algebras with even part $\mathscr{C}_0$. Write…

Let $C$ be a smooth projective geometrically integral curve over a field $k$, and let $X\to C$ be an admissible quadric fibration. Write $CH_0(X/C)$ for the kernel of the natural h…

Let $X\to\mathbb{P}^1$ be a fibration in complete intersections of two four-dimensional quadrics. Let $\operatorname{rcodim}(X)$ denote its categorical representability codimension…