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arXiv · 1010.5096

Restriction theorems for $\mu$-(semi)stable framed sheaves

Francesco Sala
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Abstract

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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Francesco Sala. 2010-10-25. Restriction theorems for $\mu$-(semi)stable framed sheaves. https://doi.org/10.1016/j.jpaa.2013.03.010

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