Giovedi’ 27 Aprile 2017 alle ORE 14:30 presso il Dipartimento di Matematica e Fisica dell’Universita’ degli Studi Roma Tre – AULA 211 – Largo San L. Murialdo,1 – il prof. Robert Auffarth (Universidad de Chile) terrà il seguente seminario:
Galois embeddings of abelian varieties and a question raised by Ekedahl-Serre
Abstract. For a smooth projective n-dimensional variety X⊂PN, let W be a linear subspace of PN of dimension N-n-1 that is disjoint from X and let πW:X→PN 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.