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Volumn 141, Issue 5, 2005, Pages 1128-1162

The stable derived category of a noetherian scheme

Author keywords

Derived category; Gorenstein injective; Grothendieck duality; Noetherian scheme; Stable category; Tate cohomology

Indexed keywords


EID: 33748686073     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0010437X05001375     Document Type: Article
Times cited : (319)

References (36)
  • 1
    • 1042285848 scopus 로고
    • Mem. Amer. Math. Soc, American Mathematical Society, Providence, RI
    • M. Auslander and M. Bridger, Stable module theory, Mem. Amer. Math. Soc., vol. 94 (American Mathematical Society, Providence, RI, 1969).
    • (1969) Stable module theory , vol.94
    • Auslander, M.1    Bridger, M.2
  • 3
    • 0036727282 scopus 로고    scopus 로고
    • Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension
    • L. L. Avramov and A. Martsinkovsky, Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension, Proc. London Math. Soc. (3) 85 (2002), 393-440.
    • (2002) Proc. London Math. Soc. (3) , vol.85 , pp. 393-440
    • Avramov, L.L.1    Martsinkovsky, A.2
  • 5
    • 3242693621 scopus 로고
    • Cohen - Macaulay modules on quadrics
    • Singularities, representation of algebras, and vector bundles, Springer, Berlin
    • R.-O. Buchweitz, D. Eisenbud and J. Herzog, Cohen - Macaulay modules on quadrics, in Singularities, representation of algebras, and vector bundles, Lecture Notes in Mathematics, vol. 1273 (Springer, Berlin, 1987), 58-116.
    • (1987) Lecture Notes in Mathematics , vol.1273 , pp. 58-116
    • Buchweitz, R.-O.1    Eisenbud, D.2    Herzog, J.3
  • 6
    • 0034389742 scopus 로고    scopus 로고
    • The homological theory of contravariantly finite subcategories: Auslander - Buchweitz contexts, Gorenstein categories and, (co-) stabilization
    • A. Beligiannis, The homological theory of contravariantly finite subcategories: Auslander - Buchweitz contexts, Gorenstein categories and, (co-) stabilization, Comm. Algebra 28 (2000), 4547-4598.
    • (2000) Comm. Algebra , vol.28 , pp. 4547-4598
    • Beligiannis, A.1
  • 7
    • 43449101629 scopus 로고    scopus 로고
    • Localization and duality in topology and modular representation theory
    • Preprint
    • D.J. Benson and J. P. C. Greenlees, Localization and duality in topology and modular representation theory, Preprint (2004).
    • (2004)
    • Benson, D.J.1    Greenlees, J.P.C.2
  • 10
    • 0030528385 scopus 로고    scopus 로고
    • J. Amer. Math. Soc. 9 (1996), 473-527.
    • (1996) J. Amer. Math. Soc , vol.9 , pp. 473-527
  • 11
    • 0000960422 scopus 로고
    • Homotopy limits in triangulated categories
    • M. Bokstedt and A. Neeman, Homotopy limits in triangulated categories, Compositio Math. 86 (1993), 209-234.
    • (1993) Compositio Math , vol.86 , pp. 209-234
    • Bokstedt, M.1    Neeman, A.2
  • 13
    • 2442673809 scopus 로고    scopus 로고
    • Generators and representability of functors in commutative and noncommutative geometry
    • A. Bondal and M. van den Bergh, Generators and representability of functors in commutative and noncommutative geometry, Mosc. Math. J. 3 (2003), 1-36.
    • (2003) Mosc. Math. J , vol.3 , pp. 1-36
    • Bondal, A.1    van den Bergh, M.2
  • 15
    • 51249167588 scopus 로고
    • Gorenstein injective and projective modules
    • E. E. Enochs and O. M. G. Jenda, Gorenstein injective and projective modules, Math. Z. 220 (1995), 611-633.
    • (1995) Math. Z , vol.220 , pp. 611-633
    • Enochs, E.E.1    Jenda, O.M.G.2
  • 17
    • 0001216833 scopus 로고
    • Des catégories abéliennes
    • P. Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323-448.
    • (1962) Bull. Soc. Math. France , vol.90 , pp. 323-448
    • Gabriel, P.1
  • 19
    • 0036026930 scopus 로고    scopus 로고
    • Cotorsion pairs, model category structures, and representation theory
    • M. Hovey, Cotorsion pairs, model category structures, and representation theory, Math. Z. 241 (2002), 553-592.
    • (2002) Math. Z , vol.241 , pp. 553-592
    • Hovey, M.1
  • 21
    • 0035888609 scopus 로고    scopus 로고
    • Spectra of modules
    • P. Jørgensen, Spectra of modules, J. Algebra 244 (2001), 744-784.
    • (2001) J. Algebra , vol.244 , pp. 744-784
    • Jørgensen, P.1
  • 23
    • 13844296631 scopus 로고    scopus 로고
    • P. J0rgensen. The homotopy category of complexes of projective modules, Adv. Math. 193 (2005), 223-232.
    • P. J0rgensen. The homotopy category of complexes of projective modules, Adv. Math. 193 (2005), 223-232.
  • 25
    • 0036123348 scopus 로고    scopus 로고
    • A Brown representability theorem via coherent functors
    • H. Krause, A Brown representability theorem via coherent functors, Topology 41 (2002), 853-861.
    • (2002) Topology , vol.41 , pp. 853-861
    • Krause, H.1
  • 27
    • 38149147993 scopus 로고
    • Tate cohomology for arbitrary groups via satellites
    • G. Mislin, Tate cohomology for arbitrary groups via satellites, Topology Appl. 56 (1994), 293-300.
    • (1994) Topology Appl , vol.56 , pp. 293-300
    • Mislin, G.1
  • 28
    • 0001725564 scopus 로고
    • The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
    • A. Neeman, The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel, Ann. Sci. École Norm. Sup. (4) 25 (1992), 547-566.
    • (1992) Ann. Sci. École Norm. Sup. (4) , vol.25 , pp. 547-566
    • Neeman, A.1
  • 29
    • 0030543860 scopus 로고    scopus 로고
    • The Grothendieck duality theorem via Bousfield's techniques and Brown representability
    • A. Neeman, The Grothendieck duality theorem via Bousfield's techniques and Brown representability, J. Amer. Math. Soc. 9 (1996), 205-236.
    • (1996) J. Amer. Math. Soc , vol.9 , pp. 205-236
    • Neeman, A.1
  • 31
    • 0032552745 scopus 로고    scopus 로고
    • Complete cohomology for arbitrary rings using injectives
    • B. E. A. Nucinkis, Complete cohomology for arbitrary rings using injectives, J. Pure Appl. Algebra 131 (1998), 297-318.
    • (1998) J. Pure Appl. Algebra , vol.131 , pp. 297-318
    • Nucinkis, B.E.A.1
  • 32
    • 24344496767 scopus 로고    scopus 로고
    • Triangulated categories of singularities and D-branes in Landau-Ginzburg models
    • D. Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models, Proc. Steklov Inst. Math. 3 (246) (2004), 227-248.
    • (2004) Proc. Steklov Inst. Math , vol.3 , Issue.246 , pp. 227-248
    • Orlov, D.1
  • 33
    • 0001697443 scopus 로고
    • Sur les modules M tels que Hom(M, -) commute avec les sommes directes
    • R. Rentschler, Sur les modules M tels que Hom(M, -) commute avec les sommes directes, C. R. Acad. Sci. Paris Ser. A 268 (1969), 930-933.
    • (1969) C. R. Acad. Sci. Paris Ser. A , vol.268 , pp. 930-933
    • Rentschler, R.1
  • 34
    • 0000318364 scopus 로고
    • Derived categories and stable equivalence
    • J. Rickard, Derived categories and stable equivalence, J. Pure Appl. Algebra 61 (1989), 303-317.
    • (1989) J. Pure Appl. Algebra , vol.61 , pp. 303-317
    • Rickard, J.1
  • 35
    • 0001560098 scopus 로고
    • Resolutions of unbounded, complexes
    • N. Spaltenstein, Resolutions of unbounded, complexes, Compositio Math. 85 (1988), 121-154.
    • (1988) Compositio Math , vol.85 , pp. 121-154
    • Spaltenstein, N.1
  • 36
    • 4243533133 scopus 로고    scopus 로고
    • Des catégories dérivées des catégories abéliennes
    • J. L. Verdier, Des catégories dérivées des catégories abéliennes, Astérisque 239 (1996).
    • (1996) Astérisque , vol.239
    • Verdier, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.