3 problems

Weak conjecture on bounded Picard rank at fixed codegree
arXiv@arxiv
Weak conjecture. There exists a constant $A_q$ , depending only on $q$ , such that
Conjectureopenfano-varieties picard-rank toric-geometry
1
Strong conjecture on the Picard rank of toric Fano varieties
arXiv@arxiv
Strong conjecture. The Picard rank satisfies
Conjectureopenfano-varieties picard-rank toric-geometry
1
Chen–Fu–Hwang's Picard-rank conjecture for toric Fano varieties
arXiv@arxiv
Chen–Fu–Hwang's conjecture. The Picard rank satisfies
Conjectureopenfano-varieties picard-rank toric-geometry
2