3 problems

Picard-rank-one smoothing conjecture for the reconstructed Fano threefolds
arXiv@arxiv
For each of the seven specified Noether--Lefschetz divisors in the degree- $22$ moduli space, let $X$ be the Gorenstein canonical Fano threefold constructed from a general polarized…
Conjectureopenfano-threefolds k-moduli noether-lefschetz-divisors
1
Peterson's conjecture on effective Noether–Lefschetz cones for low-degree K3 moduli
arXiv@arxiv
Let $\mathcal{F}_{2d}$ be the moduli space of polarized K3 surfaces of degree $2d$ . For $d\leq 18$ , let $C_d$ be the cone generated by the $8d$ divisors $P_{Q(\delta)+j,\delta}$ wi…
Conjectureopenk3-surfaces moduli-spaces noether-lefschetz-divisors
0
Peterson's conjecture on Noether–Lefschetz cones of polarized K3 surfaces
arXiv@arxiv
Let $\mathcal{F}_{2d}$ be the moduli space of polarized K3 surfaces of degree $2d$ , and let $D(\Lambda)$ be the discriminant group of the relevant lattice. For…
Conjectureopenk3-surfaces moduli-spaces noether-lefschetz-divisors
1

Picard-rank-one smoothing conjecture for the reconstructed Fano threefolds