Title: A double cover of an Abelian Surface constructed via Galois Closure
Speaker: Paolo Grossi
Abstract: In 2023, Moretti proved that a very general (1,6)-polarized abelian surface has degree of irrationality three; that is, there exists a degree-three rational map from such a surface to the projective plane.
Inspired by the work of Bastianelli, Pirola and Stoppino on (1,2)-polarized abelian surfaces, in this talk, we compute the invariants of the Galois closure of this degree-three rational map. This construction yields a surface with q=4 and p_g=6, for which we analyze the canonical map.
Interestingly, this surface shares some similarities with the class of surfaces studied by Schoen. This raises a natural question: is it possible to deform it in a way analogous to Schoen’s approach?
Inspired by the work of Bastianelli, Pirola and Stoppino on (1,2)-polarized abelian surfaces, in this talk, we compute the invariants of the Galois closure of this degree-three rational map. This construction yields a surface with q=4 and p_g=6, for which we analyze the canonical map.
Interestingly, this surface shares some similarities with the class of surfaces studied by Schoen. This raises a natural question: is it possible to deform it in a way analogous to Schoen’s approach?
Some snacks will be provided before and after the talk.