We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a μ-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d≥ 2 to a general hypersurface of sufficiently high degree is again μ-semistable. The same holds for μ-stability under some additional assumptions.
Restriction theorems for μ-(semi)stable framed sheaves
Sala F.
2013-01-01
Abstract
We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a μ-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d≥ 2 to a general hypersurface of sufficiently high degree is again μ-semistable. The same holds for μ-stability under some additional assumptions.File in questo prodotto:
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