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

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

2010-10-25

arxiv.org/abs/1010.5096v2

Mathematics

Algebraic Geometry

v2: incorporates changes suggested by the referee

Scientific paper

We provide a generalization of Mehta-Ramanathan theorems to framed sheaves: we prove that the restriction of a $\mu$-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 $\mu$-semistable. The same holds for $\mu$-stability under some additional assumptions.

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