Restriction theorems for $\mu$-(semi)stable framed sheaves
Algebraic Geometry
2013-11-14 v3
Abstract
We provide a generalization of Mehta-Ramanathan theorems to framed sheaves: we prove that the restriction of a -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 -semistable. The same holds for -stability under some additional assumptions.
Keywords
Cite
@article{arxiv.1010.5096,
title = {Restriction theorems for $\mu$-(semi)stable framed sheaves},
author = {Francesco Sala},
journal= {arXiv preprint arXiv:1010.5096},
year = {2013}
}
Comments
v2: incorporates changes suggested by the referee. v3: some intermediate results on the (relative) Harder-Narasimhan filtration and the Jordan-Holder filtrations have been extended to the case of framed sheaves on schemes. The main results are unchanged. To appear in Journal of Pure and Applied Algebra