On the existence of generically smooth components for moduli spaces of rank 2 stable reflexive sheaves on P3 Original Research Article

The goal of this work is to prove that for almost all possible triples (c1, c2, c3) ε Z3 the moduli scheme M(2; c1, c2, c3), which parametrizes isomorphism classes of rank 2 stable reflexive sheaves on P3 with Chern classes c1, c2 and c3, has a generically smooth component. In order to obtain these results we construct a wide range of non-obstructed, m-normal curves with suitable degree and genus. We conclude this paper by adding some examples and remarks.