About: Model category structures arising from Drinfeld vector bundles

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.aim.2012.06.011
Description	We present a general construction of model category structures on the category C(Qco(X)) of unbounded chain complexes of quasi-coherent sheaves on a semi-separated scheme X. The construction is based on making compatible the filtrations of individual modules of sections at open affine subsets of X. It does not require closure under direct limits as previous methods. We apply it to describe the derived category D(Qco(X)) via various model structures on C(Qco(X)). As particular instances, we recover recent results on the flat model structure for quasi-coherent sheaves. Our approach also includes the case of (infinite-dimensional) vector bundles, and restricted Drinfeld vector bundles. Finally, we prove that the unrestricted case does not induce a model category structure as above in general. We present a general construction of model category structures on the category C(Qco(X)) of unbounded chain complexes of quasi-coherent sheaves on a semi-separated scheme X. The construction is based on making compatible the filtrations of individual modules of sections at open affine subsets of X. It does not require closure under direct limits as previous methods. We apply it to describe the derived category D(Qco(X)) via various model structures on C(Qco(X)). As particular instances, we recover recent results on the flat model structure for quasi-coherent sheaves. Our approach also includes the case of (infinite-dimensional) vector bundles, and restricted Drinfeld vector bundles. Finally, we prove that the unrestricted case does not induce a model category structure as above in general. (en)
Title	Model category structures arising from Drinfeld vector bundles Model category structures arising from Drinfeld vector bundles (en)
skos:prefLabel	Model category structures arising from Drinfeld vector bundles Model category structures arising from Drinfeld vector bundles (en)
skos:notation	RIV/00216208:11320/12:10128137!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0816), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	3-4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Trlifaj, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	150892
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10128137
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	bundles; vector; Drinfeld; arising; structures; category; Model (en)
http://linked.open.../riv/klicoveSlovo	vector bundles Model category structures Drinfeld arising
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[436A547D4EA6]
http://linked.open...i/riv/nazevZdroje	Advances in Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraické metody teorie reprezentací (aproximace, realizace a omezení)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	231
http://linked.open...iv/tvurceVysledku	Trlifaj, Jan Asensio, Pedro A. Guil Estrada, Sergio Prest, Mike
http://linked.open...ain/vavai/riv/wos	000308783400010
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0001-8708
number of pages	22 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.aim.2012.06.011
http://localhost/t...ganizacniJednotka	11320

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