Stability of restrictions of cotangent bundles of irreducible Hermitian symmetric spaces of compact type

Abstract

It is known that the cotangent bundle ${\Omega }_Y$ of an irreducible Hermitian symmetric space $Y$ of compact type is stable. Except for a few obvious exceptions, we show that if $X\subset Y$ is a complete intersection such that $Pic(Y)\to Pic(X)$ is surjective, then the restriction ${\Omega }_{Y|X}$ is stable. We then address some cases where the Picard group increases by restriction.

arXiv commentResults and exposition improved

References in corpus (2)

• On stability of tangent bundles of Fano manifolds with b_2=1
• Restrictions of stable bundles