Toric Fano manifolds with nef tangent bundles
classification
🧮 math.AG
keywords
toricfanomanifoldstangentbundlebundlescampana-peternellconjecture
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In this note we prove that any toric Fano manifold with nef tangent bundle is a product of projective spaces. In particular, it implies that Campana-Peternell conjecture hold for toric manifolds.
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