The Grothendieck duality theorem via Bousfield's techniques and Brown representability

Journal of the American Mathematical Society

Volumn 9, Issue 1, 1996, Pages 205-236

  Neeman, Amnon ^a  

^a University of Virginia ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030543860     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-96-00174-9     Document Type: Article

References (31)

1. P. Berthelot, A. Grothendieck and L. Illusie, SGA 6: Théorie des intersections et théorème de Riemann-Roch, Lecture Notes in Math., vol. 225, Springer-Verlag, Heidelberg, 1971. MR 50:7133
2. P. Berthelot, A. Grothendieck and L. Illusie, SGA 6: Théorie des intersections et théorème de Riemann-Roch, Lecture Notes in Math., vol. 225, Springer-Verlag, Heidelberg, 1971. MR 50:7133
3. M. Bökstedt and A. Neeman, Homotopy limits in triangulated categories, Compositio Math. 86 (1993), 209-234. MR 94f:18008
4. M. Bökstedt and A. Neeman, Homotopy limits in triangulated categories, Compositio Math. 86 (1993), 209-234. MR 94f:18008
5. A.K. Bousfield, The localization of spaces with respect to homology, Topology 14 (1975), 133-150. MR 52:1676
6. A.K. Bousfield, The localization of spaces with respect to homology, Topology 14 (1975), 133-150. MR 52:1676
7. _, The localization of spectra with respect to homology, Topology 18 (1979), 257-281. MR 80m:55006
8. _, The localization of spectra with respect to homology, Topology 18 (1979), 257-281. MR 80m:55006
9. _, The Boolean algebra of spectra, Comm. Math. Helv. 54 (1979), 368-377. MR 81a:55015
10. _, The Boolean algebra of spectra, Comm. Math. Helv. 54 (1979), 368-377. MR 81a:55015
11. E.H. Brown, Abstract homotopy theory, Trans. Amer. Math. Soc. 119 (1965), 79-85. MR 32:452
12. E.H. Brown, Abstract homotopy theory, Trans. Amer. Math. Soc. 119 (1965), 79-85. MR 32:452
13. !, Appendix to: Residues and Duality, Lecture Notes in Math., vol. 20, Springer-Verlag, Heidelberg, 1966, pp. 404-421. MR 36:5145
14. !, Appendix to: Residues and Duality, Lecture Notes in Math., vol. 20, Springer-Verlag, Heidelberg, 1966, pp. 404-421. MR 36:5145
15. R. Hartshorne, Residues and duality, Lecture Notes in Math., vol. 20, Springer-Verlag, Heidelberg, 1966. MR 36:5145
16. R. Hartshorne, Residues and duality, Lecture Notes in Math., vol. 20, Springer-Verlag, Heidelberg, 1966. MR 36:5145
17. R. Kiehl, Ein "Descente"-Lemma und Grothendiecks Projektionssatz für nichtnoethersche Schemata, Math Ann. 198 (1972), 287-316. MR 52:3165
18. R. Kiehl, Ein "Descente"-Lemma und Grothendiecks Projektionssatz für nichtnoethersche Schemata, Math Ann. 198 (1972), 287-316. MR 52:3165
19. J. Lipman, Notes on derived categories and derived functors, preprint.
20. _, Non-noetherian Grothendieck duality, preprint.
21. A. Neeman, Stable homotopy as a triangulated functor, Invent. Math. 109 (1992), 17-40. MR 93j:55022
22. A. Neeman, Stable homotopy as a triangulated functor, Invent. Math. 109 (1992), 17-40. MR 93j:55022
23. _, The connection between the K-theory localisation theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel, Ann. Sci. École Norm. Sup. 25 (1992), 547-566. MR 93k:18015
24. _, The connection between the K-theory localisation theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel, Ann. Sci. École Norm. Sup. 25 (1992), 547-566. MR 93k:18015
25. A. Neeman and V. Voevodsky, Triangulated categories, incomplete preprint.
26. N. Spaltenstein, Resolutions of unbounded complexes, Compositio Math. 65 (1988), 121-154. MR 89m:18013
27. N. Spaltenstein, Resolutions of unbounded complexes, Compositio Math. 65 (1988), 121-154. MR 89m:18013
28. R. Thomason and T. Trobaugh, Higher algebraic K-theory of schemes and of derived categories, The Grothendieck Festschrift ( a collection of papers to honor Grothendieck's 60'th birthday), Vol. 3, Birkhäuser, 1990, pp. 247-435. MR 92f:19001
29. R. Thomason and T. Trobaugh, Higher algebraic K-theory of schemes and of derived categories, The Grothendieck Festschrift ( a collection of papers to honor Grothendieck's 60'th birthday), Vol. 3, Birkhäuser, 1990, pp. 247-435. MR 92f:19001
30. J.-L. Verdier, Base change for twisted inverse images of coherent sheaves, Collection: Algebraic Geometry (Internat. Colloq.), Tata Inst. Fund. Res., Bombay, 1968, pp. 393-408. MR 43:227
31. J.-L. Verdier, Base change for twisted inverse images of coherent sheaves, Collection: Algebraic Geometry (Internat. Colloq.), Tata Inst. Fund. Res., Bombay, 1968, pp. 393-408. MR 43:227