On some properties of rank 2 reflexive sheaves on a smooth threefold

Mario Valenzano

Abstract


We show that some properties of rank 2 reflexive sheaves true on P3 can be extended to a wide class of smooth projective threefolds. In particular, we establish some cohomological conditions in order that a rank 2 reflexive sheaf is locally free or a split bundle, or, equivalently, that an equidimensional, locally Cohen-Macaulay and generically local complete intersection curve lying on the threefold is subcanonical or a complete intersection.

Keywords


Rank 2 reflexive sheaves; smooth threefolds

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DOI: http://dx.doi.org/10.1478/AAPP.972A4

Copyright (c) 2019 Mario Valenzano

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