3 papers
math.AG2026
De Rham-Betti Groups of Some Abelian Fourfolds
Zekun Ji
We determine the de Rham--Betti (dRB) groups for several classes of abelian varieties over . We prove that for simpl…
math.AG2026
Weight of the De Rham-Betti Structures of Abelian Varieties
Zekun Ji
In this note, we prove that for any abelian variety defined over , its de Rham-Betti (dRB) group necessarily contains as the group of homoth…
math.AG2025
De Rham-Betti Groups of Type IV Abelian Varieties
Zekun Ji
We study the de Rham-Betti structure of a simple abelian variety of type IV. We will take a Tannakian point of view inspired by André. The main results are that the de Rham-Betti…