Bundles on the Fano threefold V_5

Details Bundles on the Fano threefold V_5 Bundles on the Fano threefold V_5

2004-07-16

arxiv.org/abs/math/0407293v1

Mathematics

Algebraic Geometry

18 pages. To appear in Communications in Algebra

Scientific paper

Using an explicit resolution of the diagonal for the variety V_5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V_5 is also proved. The presentation of semistable aCM (i.e. with no intermediate cohomology) bundles is shown, together with a resolution-theoretic classification of low rank aCM bundles.

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