Restriction theorems for $μ$-(semi)stable framed sheaves

We provide a generalization of Mehta-Ramanathan theorems to framed sheaves: we prove that the restriction of a $μ$-semistable framed sheaf on a nonsingular projective irreducible variety, of dimension greater or equal than two, to a general hypersurface of sufficiently high degree is again $μ$-semistable. The same holds for $μ$-stability under some additional assumptions.

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