Publikace na Matematicko-fyzikální fakulta |
2014
Abstrakt
A basic question for any property of quasi-coherent sheaves on a scheme X is whether the property is local, that is, it can be defined using any open affine covering of X. Locality follows from the descent of the corresponding module property: for ( infinite dimensional) vector bundles and Drinfeld vector bundles, it was previously proved by Kaplansky's technique of devissage.
Since vector bundles coincide with. N-0-restricted Drinfeld vector bundles, a question arose as to whether locality holds for k-restricted Drinfeld vector bundles for each infinite cardinal..
We give a positive answer here by replacing the devissage with its recent refinement involving C-filtrations and the Hill Lemma.