3 problems

Let $X \subset \mathbb{P}(a_0,\ldots,a_N)$ be a smooth well-formed Fano weighted complete intersection of multidegree $(d_1,\ldots,d_c)$. A nef-partition for $X$ is a splitting … I…

Nef-partition conjecture. The variety $X$ has a good nef-partition and a toric Landau–Ginzburg model.

Let $X$ be a smooth well formed Fano weighted complete intersection. A nice nef partition conjecture asserts that there exists a nice nef partition for $X$, and that $X$ has a tori…