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math.AG2026
Holomorphic symplectic geometry of elliptic surfaces
Jun-Muk Hwang, Guolei Zhong
When a complex surface admits a nowhere vanishing holomorphic 2-form, it determines a (holomorphic) symplectic structure on . We study the symplectic geometry of such a symp…
math.AG2024
Lagrangian loci in moduli of abelian surfaces
Jun-Muk Hwang
We show that any smooth surface germ in the moduli of abelian surfaces arises from a Lagrangian fibration of abelian surfaces. By Donagi-Markman's cubic condition, the key issue of…