3 papers
math.AG2019
Holomorphic curves in mixed Shimura varieties
Michele Giacomini
Following work by Ullmo and Yafaev, we propose and prove an analogue of the Bloch-Ochiai theorem in the context of mixed Shimura varieties. We follow the strategy and use results o…
math.NT2018
Cyclotomic torsion points in elliptic schemes
Michele Giacomini
An elliptic curve defined over a number field possesses only a finite number of torsion points defined over the cyclotomic closure of its field of definition. In analogy to the rel…
math.AG2018
Holomorphic curves in Shimura varieties
Michele Giacomini
We prove an hyperbolic analogue of the Bloch-Ochiai theorem about the Zariski closure of holomorphic curves in abelian varieties. We consider the case of non compact Shimura variet…