Zariski locality of quasi-coherent sheaves associated with tilting

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00531878" target="_blank" >RIV/67985840:_____/20:00531878 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/20:10420932
Result on the web
<a href="http://dx.doi.org/10.1512/iumj.2020.69.7987" target="_blank" >http://dx.doi.org/10.1512/iumj.2020.69.7987</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1512/iumj.2020.69.7987" target="_blank" >10.1512/iumj.2020.69.7987</a>

Result language
angličtina
Original language name
Zariski locality of quasi-coherent sheaves associated with tilting
Original language description
A classic result by Raynaud and Gruson says that the notion of an (infinite-dimensional) vector bundle is Zariski local. This result may be viewed as a particular instance (for n = 0) of the locality of more general notions of quasi-coherent sheaves related to (infinite-dimensional) n-tilting modules and classes. Here, we prove the latter locality for all n and all schemes. We also prove that the notion of a tilting module descends along arbitrary faithfully flat ring morphisms in several particular cases (including the case when the base ring is Noetherian).
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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