Author

Edward Varvak

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Preprint Oct 2026

The Mumford--Tate group of a very general Lagrangian fiber

For a primitive symplectic variety $X$ admitting a holomorphic Lagrangian fibration $f: X \to B$, we classify the possible Mumford--Tate groups of the very general fiber. We extract as a consequence that the discriminant of $f$ has codimension one in $B$. In the special case when $X$ is a hyper-K\"ahler manifold which...

Edward Varvak · 0 citations