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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F12%3A10128137%21RIV13-GA0-11320___
rdf:type
skos:Concept n10:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1016/j.aim.2012.06.011
dcterms: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.
dcterms:title
Model category structures arising from Drinfeld vector bundles Model category structures arising from Drinfeld vector bundles
skos:prefLabel
Model category structures arising from Drinfeld vector bundles Model category structures arising from Drinfeld vector bundles
skos:notation
RIV/00216208:11320/12:10128137!RIV13-GA0-11320___
n10:predkladatel
n11:orjk%3A11320
n3:aktivita
n5:Z n5:P
n3:aktivity
P(GA201/09/0816), Z(MSM0021620839)
n3:cisloPeriodika
3-4
n3:dodaniDat
n8:2013
n3:domaciTvurceVysledku
n22:6265219
n3:druhVysledku
n18:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
150892
n3:idVysledku
RIV/00216208:11320/12:10128137
n3:jazykVysledku
n14:eng
n3:klicovaSlova
bundles; vector; Drinfeld; arising; structures; category; Model
n3:klicoveSlovo
n4:structures n4:Drinfeld n4:arising n4:category n4:bundles n4:Model n4:vector
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[436A547D4EA6]
n3:nazevZdroje
Advances in Mathematics
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n21:GA201%2F09%2F0816
n3:rokUplatneniVysledku
n8:2012
n3:svazekPeriodika
231
n3:tvurceVysledku
Trlifaj, Jan Asensio, Pedro A. Guil Prest, Mike Estrada, Sergio
n3:wos
000308783400010
n3:zamer
n6:MSM0021620839
s:issn
0001-8708
s:numberOfPages
22
n16:doi
10.1016/j.aim.2012.06.011
n20:organizacniJednotka
11320