2 problems

Mirror symmetry for lattice-polarised weak del Pezzo surfaces. The mirror to $(V,C)$ is given by an elliptic fibration $W\to\Delta$ with fibre $F_p$ such that $\phi$ is a quasi del…

HKL conjecture for $P_8^\ast$. The section rings $R_d(s)$ are finitely generated for every $s\in[0,1]\cap\mathbb{Q}$; consequently, ${\mathcal F}(s)$ is a projective variety of dim…