On complexes of finite complete intersection dimension
Bergh, Petter Andreas
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 49-54 / Harvested from Project Euclid
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We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex of complexity $c$, we prove that the thick subcategory it generates contains complexes of all possible complexities at most $c$. In particular, we show that such a complex is virtually small, answering a question raised by Dwyer, Greenlees and Iyengar.
Publié le : 2009-05-15
Classification:  Finite complete intersection dimension,  complexity,  virtually small complexes,  13D25,  18E30,  18G10 
@article{1251832592,
     author = {Bergh, Petter Andreas},
     title = {On complexes of finite complete intersection dimension},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 49-54},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832592}
}

Bergh, Petter Andreas. On complexes of finite complete intersection dimension. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  49-54. http://gdmltest.u-ga.fr/item/1251832592/