Flat relative Mittag-Leffler modules and Zariski locality
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509093" target="_blank" >RIV/00216208:11320/25:10509093 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=yha~JKn_Nc" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=yha~JKn_Nc</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2024.107834" target="_blank" >10.1016/j.jpaa.2024.107834</a>
Alternative languages
Result language
angličtina
Original language name
Flat relative Mittag-Leffler modules and Zariski locality
Original language description
The ascent and descent of the Mittag-Leffler property were instrumental in proving Zariski locality of the notion of an (infinite dimensional) vector bundle by Raynaud and Gruson in [26]. More recently, relative Mittag-Leffler modules were employed inthe theory of (infinitely generated) tilting modules and the associated quasi-coherent sheaves, [2], [22]. Here, we study the ascent and descent along flat and faithfully flat homomorphisms for relative versions of the Mittag-Leffler property. In particular,we prove the Zariski locality of the notion of a locally f-projective quasi-coherent sheaf for all schemes, and for each n >= 1, of the notion of an n-Drinfeld vector bundle for all locally noetherian schemes.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Pure and Applied Algebra
ISSN
0022-4049
e-ISSN
1873-1376
Volume of the periodical
229
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
107834
UT code for WoS article
001349590400001
EID of the result in the Scopus database
2-s2.0-85207333914