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OpenAI reports the Campana–Peternell conjecture for Fano sixfolds

Individual problem

Every smooth connected complex projective Fano variety of dimension six with nef tangent bundle is rational homogeneous.

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Understanding the problem

Read the background

Every smooth connected complex projective Fano variety of dimension six with nef tangent bundle is rational homogeneous.

Why it matters

If correct, completes the Campana–Peternell classification in complex dimension six.

What counts as progress

Is every Fano sixfold with nef tangent bundle rational homogeneous?

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