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Serre-duality for Tails
Author(s):
Peter
Jørgensen
Journal:
Proc. Amer. Math. Soc.
125
(1997),
709-716.
MSC (1991):
Primary 14A22, 16W50;
Secondary 18E30
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Abstract:
A version of Serre-duality is proved for Artin's non-commutative projective schemes.
References:
- 1.
- M. Artin and J. J. Zhang, Noncommutative projective schemes, Adv. Math., 109 (1994) 228-287. MR 96a:14004
- 2.
- M. Bökstedt and A. Neeman, Homotopy limits in triangulated categories, Comp. Math., 86 (1993) 209-234. MR 94f:18008
- 3.
- P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France, 90 (1962) 323-448. MR 38:1144
- 4.
- R. Hartshorne, Residues and duality, Lecture Notes in Math., vol. 20, Springer, Berlin, 1966. MR 36:5145
- 5.
- S. MacLane, Categories for the working mathematician, Springer Graduate Texts in Math., vol. 5, Springer, Berlin, 1971. MR 50:7275
- 6.
- A. Neeman, The Grothendieck duality theorem via Bousfield's techniques and Brown representability, J. Amer. Math. Soc., 9 (1996), 205-236. MR 96c:18006
- 7.
- A. Yekutieli and J. J. Zhang, Serre duality for noncommutative projective schemes, Proc. Amer. Math. Soc., this issue.
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Additional Information:
Peter
Jørgensen
Affiliation:
Matematisk Institut, Københavns Universitet, Universitetsparken~5, DK--2100 København Ø, Denmark
Email:
popjoerg@math.ku.dk
DOI:
10.1090/S0002-9939-97-03670-8
PII:
S 0002-9939(97)03670-8
Keywords:
Non-commutative projective schemes,
Serre-duality,
Brown Adjoint Functor Theorem
Received by editor(s):
March 9, 1995
Received by editor(s) in revised form:
September 25, 1995
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1997,
American Mathematical Society
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