Abstract

Abstract We give sufficient conditions for the existence of μ -stable reflexive sheaves E on a Calabi–Yau threefold such that the first Chern classes c 1 ( E ) satisfy c 1 ( E ) ⋅ H 2 = 0 for some ample line bundle H . We also prove a result concerning deformations to construct rank two μ -stable sheaves on arbitrary smooth projective varieties.

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