Geodesic
Subcategories of the derived category and cotilting complexes
Aslak Bakke Buan1
1Institutt for matematiske fag Norges teknisk-naturvitenskapelige universitet N-7491 Trondheim, Norway
Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 1-11
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
DOI : 10.4064/cm88-1-1
Keywords: there one to one correspondence between basic cotilting complexes certain contravariantly finite subcategories bounded derived category artin algebra triangulated version result auslander reiten existence criterion complements exceptional complexes

Aslak Bakke Buan  1

1 Institutt for matematiske fag Norges teknisk-naturvitenskapelige universitet N-7491 Trondheim, Norway 
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Aslak Bakke Buan. Subcategories of the derived category and cotilting complexes. Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 1-11. doi: 10.4064/cm88-1-1

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