Abstract
In this paper we obtain a cohomological splitting criterion for locally free sheaves on arithmetically Cohen-Macaulay surfaces with cyclic Picard group, which is similar to Horrocks' splitting criterion for locally free sheaves on projective spaces. We also recover a duality property which identifies a general K 3 surface with a certain moduli space of stable sheaves on it, and obtain examples of stable, arithmetically Cohen-Macaulay, locally free sheaves of rank two on general surfaces of degree at least five in P-3.
| Original language | English |
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| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| State | Published - 2013 |