3 problems

Let $d$ be the dimension parameter used in the paper, let $f\in H_{1-d,\bar\rho_L}$, and let $\hat{\mathcal{Z}}(f)$ and $\mathcal{Z}(W)$ be the associated arithmetic divisor and cy…

Let $F$ be a totally real number field of degree $n$, let $E/F$ be a CM extension, and for each CM type $\Phi\in\Phi(E)$ let $X_{\Phi}$ be a CM abelian variety of type…

Let $A/K$ be an abelian variety of dimension $g$ over a number field $K$, with conductor ideal $\mathcal{F}_{A/K}$. Generalized Szpiro conjecture. There exist real numbers $c_1$ an…