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

Authors

  • Mario Valenzano Università degli Studi di Torino

DOI:

https://doi.org/10.1478/AAPP.972A4

Keywords:

Rank 2 reflexive sheaves, smooth threefolds

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.

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Published

2019-09-10

Issue

Vol. 97 No. 2 (2019)

Section

Articles

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