4 problems

Let $\kappa:\mathbb{M}\to\Theta_{\operatorname{Im}(\mathbb{C})}$ be the universal Kähler ALE bundle, with vertical forms $\omega_{\mathbb{M};RF}$ and…

Let $M_\zeta$ be the Calabi–Yau ALE resolution in complex dimension $3$, let $g_\zeta$ be its quotient Kähler metric, and let $(\mathcal{H}^{0,1}_\alpha)^\Gamma$ denote the invaria…

Let $\mathfrak{p}_\zeta:\mathbb{P}\to\mathbb{M}$ be the universal bundle with connection $\mathbb{A}$, and let $p_\zeta:P_\zeta\to M_\zeta$ denote its restriction to a fibre. The f…

Let $M_\zeta$ be the ALE resolution constructed from the quotient $V/\Gamma$, and let $\omega_\zeta$ denote its Kähler form. The Calabi–Yau ALE metric conjecture. The ALE space…