Abstract
The goal of this paper is to give a sharp bound for the order of unstability of an unstable surface X of a rank 2 stable reflexive sheaf E onP3 in terms of the Chern classes of E and the degree of X; and a sharp bound for the order of unstability of an unstable surface X of a rank 2 nonstable reflexive sheaf E onP3in terms of the Chern classes of E, the order of nonstability of E and the degree of X.
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