3 problems

For integers $d,g\ge 1$, let $\widetilde{\mathsf{NL}}_{g,d}$ be the moduli space of morphisms of abelian varieties $h:E\to A$, where $E$ is an elliptic curve, $A$ is a principally…

Let $\mathcal{F}_h$ be the moduli space under consideration of hyperkähler manifolds, and let ${\rm NL}^\ast(\mathcal{F}_h)$ be the ring generated by Noether–Lefschetz cycles. Let…

Let $\mathcal{K}_g$ be the moduli space of primitively polarized K3 surfaces of genus $g$, and let ${\rm NL}^\ast(\mathcal{K}_g)$ be the subring of its Chow ring generated by Noeth…