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math.AG2026
The Mumford--Tate group of a very general Lagrangian fiber
Edward Varvak
For a primitive symplectic variety admitting a holomorphic Lagrangian fibration , we classify the possible Mumford--Tate groups of the very general fiber. We extrac…
math.AG2025
The monodromy of compact Lagrangian fibrations
Edward Varvak
We study the monodromy representations underlying compact Lagrangian fibrations. In the case where the associated period map is generically immersive, we prove that the mondromy re…