4 problems

Let ${\sf S}$ be the affine moduli scheme of pairs $(X,\alpha)$ with universal family ${\sf X}\to{\sf S}$ and universal holomorphic form…

Let $X_z$ be a family of Calabi–Yau $n$-folds defined over a perfect field of characteristic $p$, let $\alpha_z$ be a holomorphic $n$-form, and let…

The paper defines the Hasse–Witt invariant of a Calabi–Yau variety in two ways: using the Cartier operator and using Calabi–Yau modular forms. Equivalence conjecture. These two def…

Let $G_{{\mathbb Q}}\hookrightarrow \mathrm{GSp}_{{\mathbb Q}}$ and let $(G_{{\mathbb Q}},X)$ be a Shimura curve of Hodge type. Let…