19 apr 2017 -- 15:00
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
For a smooth projective n-dimensional variety $X\subset P^N$, let $W$ be a linear subspace of $P^N$ of dimension $N-n-1$ that is disjoint from $X$ and let $\pi_W:X\rightarrow P^N$ be the linear projection associated to $W$. A natural question to ask is: when does this projection induce a Galois extension of function fields? We will address this question in the case that $X$ is an abelian variety. Moreover, we will relate this discussion to a question asked by Ekedahl and Serre on Jacobian varieties that are isogenous to the product of elliptic curves.