3 problems

Let $\mathcal J$ and $\hat{\mathcal J}$ be the ideals defining the quotient algebras $\mathcal A_{\mathcal J}$ and $\mathcal A_{\hat{\mathcal J}}$, and let $\partial_{t_\ell}$,…

Let $\mathcal{H}({\bf t};p,q,r;\epsilon)$ be the cubic Hodge free energy, let $w=\epsilon^2\partial_{t_0}^2\mathcal{H}({\bf t};p,q,r;\epsilon)$, and let…

Let $p,q,r e 0$ satisfy the local Calabi–Yau condition $1/p+1/q+1/r=0$, with $r=-pq/(p+q)$. Set $sj=-(2j-2)!(p^{2j-1}+q^{2j-1}+r^{2j-1})$, $\alpha=p/\sqrt{p+q}$, and…