OpenAI reports virtual abelianity for special compact Kähler manifolds

The ordinary discrete fundamental group of every connected smooth special compact Kähler manifold has an abelian subgroup of finite index.

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Understanding the problem

Read the background

The ordinary discrete fundamental group of every connected smooth special compact Kähler manifold has an abelian subgroup of finite index.

Why it matters

If correct, resolves Campana’s abelianity conjecture in all dimensions for special compact Kähler manifolds.

What counts as progress

Is the fundamental group of every special compact Kähler manifold virtually abelian?

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