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math.AG2021
Simplicity of tangent bundles of smooth horospherical varieties of Picard number one
Jaehyun Hong
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 counterexam…
math.AG2021★ 2 cited
Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
Soojin Cho, Jaehyun Hong, Eunjeong Lee
Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the coh…