3 problems

Let $k$ be a field of characteristic not dividing $6$, let $g$ be the genus, and let $\mathrm{Hur}_{3,g,k}$ be the degree-$3$ Hurwitz stack. Write $\mathbb L$ for the class of the…

Let $q$ be a prime power, let $a_n\in\mathcal{M}_{\mathbb{F}_q}$ be a natural sequence of classes, and let $\mathcal{H}_1$ denote the set of Hadamard functions $f$ satisfying…

Let $X/\mathbb{F}_q$ be a smooth projective variety equipped with an ample line bundle $\mathcal{L}$, and let $U_d \subset \Gamma(X,\mathcal{L}^d)$ be the open subvariety of smooth…