# Simplicity of tangent bundles of smooth horospherical varieties of Picard number one

@article{Hong2022SimplicityOT, title={Simplicity of tangent bundles of smooth horospherical varieties of Picard number one}, author={Jaehyun Hong}, journal={Comptes Rendus. Math{\'e}matique}, year={2022} }

Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety. There is a weaker conjecture that the tangent bundle of a Fano manifold of Picard number one is simple. We prove that this weaker conjecture is valid for smooth horospherical varieties of Picard number one. Our proof follows from the existence of an irreducible family of…

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