Rigidity and the construction of the dual abelian variety

I gave this talk on the 17th of October of 2023 for the study group on abelian varieties organised by David Hubbard.

The goal of the study group was to construct and prove the main properties of abelian varieties. In my talk, I mainly talked about rigidity, which is a property of complete algebraic varieties that, in the case of abelian varieties, allows us to prove that the group law is commutative.

These are the notes I wrote for my talk: