On flat generators and Matlis duality for quasicoherent sheaves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10436782" target="_blank" >RIV/00216208:11320/21:10436782 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=LeEV59TzX_" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=LeEV59TzX_</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.12398" target="_blank" >10.1112/blms.12398</a>

Result language
angličtina
Original language name
On flat generators and Matlis duality for quasicoherent sheaves
Original language description
We show that for a quasicompact quasiseparated schemeX, the following assertions are equivalent: (1) the categoryQCoh(X)of all quasicoherent sheaves onXhas a flat generator; (2) for every injective objectEofQCoh(X), the internal hom functor intoEis exact; (3) the schemeXis semiseparated.
Czech name
—
Czech description
—

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/GA17-23112S" target="_blank" >GA17-23112S: Structure theory for representations of algebras (localization and tilting theory)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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