Abstract
We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines. We introduce a set of invariants for a vector bundle on the product of two projective lines, which includes the first cohomology module of the bundle, and prove that there is a one to one correspondence between these sets of invariants and isomorphism classes of vector bundles without line bundle summands.
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F. Malaspina: Partially supported by GNSAGA of Indam (Italy).
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Malaspina, F., Rao, A.P. Horrocks Correspondence on a Quadric Surface. Geom Dedicata 169, 15–31 (2014). https://doi.org/10.1007/s10711-013-9839-0
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DOI: https://doi.org/10.1007/s10711-013-9839-0