DESCENT OF RESTRICTED FLAT MITTAG-LEFFLER MODULES AND GENERALIZED VECTOR BUNDLES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10285306" target="_blank" >RIV/00216208:11320/14:10285306 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
DESCENT OF RESTRICTED FLAT MITTAG-LEFFLER MODULES AND GENERALIZED VECTOR BUNDLES
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F09%2F0816" target="_blank" >GA201/09/0816: Algebraic Methods in the Representation Theory (Approximations, Realizations, and Constraints)</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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