OpenAI reports projective-space bases for Lagrangian fibrations

The normal projective base of any projective Lagrangian fibration from a compact irreducible holomorphic symplectic Kähler manifold is projective space.

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Understanding the problem

Read the background

The normal projective base of any projective Lagrangian fibration from a compact irreducible holomorphic symplectic Kähler manifold is projective space.

Why it matters

If correct, resolves the projective-space base conjecture for the stated class of Lagrangian fibrations.

What counts as progress

Must the base of every stated Lagrangian fibration be projective space?

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