Stability of the tangent bundles of complete intersections and effective restriction (Q2115481)

Let $M$ be an $(n + r)$-dimensional irreducible Hermitian symmetric space of compact type and let $O(1)$ be the ample generator of Pic$(M)$. Let $Y$ be a smooth complete intersection of dimension $n$. The author showed a vanishing theorem for twisted holomorphic forms on $Y$. Also, the author generalized a result of Peternell-Wiśniewski. Under some conditions, the tangent bundle over $Y$ is stable.