3 problems

Let $E_\tau$ be the elliptic curve with parameter $\tau\in\mathbb{H}$, and let $\Sigma=\{p_1,\ldots,p_n\}\subseteq E_\tau$, where $n$ is even. Let $AP_\Sigma(\tau)$ be the associat…

Let $\tau\in\mathbb{H}$, let $\Sigma=E_\tau[2]$, and let $(\alpha_1,\ldots,\alpha_4)\in(2\mathbb{Z})^4$. The apparent space $AP_\Sigma(\tau)$ parametrizes the relevant apparent dat…

Let $X$ be a compact Riemann surface, let $L$ and $M$ be line bundles on $X$, and consider the ramification divisor map … At a point of this projective space, the tangential map of…