Moduli of abelian surfaces, symmetric theta structures and theta characteristics
Moduli of abelian surfaces, symmetric theta structures and theta characteristics
We study the birational geometry of some moduli spaces of abelian varieties with extra structure: in particular, with a symmetric theta structure and an odd theta characteristic. For a ( d_1, d_2 )-polarized abelian surface, we show how the parities of the d_i influence the relation between canonical level structures …