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Tagged with cotangent-bundles complex-geometry
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Triviality, ampleness, nefness, and bigness of the tangent bundle
Let $X$ be a smooth projective connected variety over $\mathbb{C}$ and let $T_X$ be its tangent bundle.
If $T_X$ is ample, then $X$ is isomorphic to a projective space by Mori's theorem.
If $T_X$ is ...
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