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.
|Titolo:||Horrocks Correspondence on a Quadric Surface|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1007/s10711-013-9839-0|
|Appare nelle tipologie:||1.1 Articolo in rivista|