3 problems

Nori's conjecture. If $n$ is sufficiently large, then the natural map

For each integer $\ell\geq 1$, let $\mathcal M_{2\ell}$ denote the moduli space of polarized $K3$ surfaces of degree $2\ell$. Let ${\mathsf{NL}}^\star(\mathcal M_{2\ell})$ be the s…

Let $\mathcal{M}_l$ be the moduli space of quasi-polarized $K3$ surfaces, and let … be the subspace spanned by the Noether–Lefschetz divisors $D_{h,d}$. Noether–Lefschetz generatio…