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Volumn 14, Issue 3, 2001, Pages 535-554

The McKay correspondence as an equivalence of derived categories

Author keywords

Derived categories; McKay correspondence; Quotient singularities

Indexed keywords


EID: 0035632205     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-01-00368-X     Document Type: Article
Times cited : (421)

References (25)
  • 1
    • 0010121687 scopus 로고
    • The Riemann-Roch theorem for analytic embeddings
    • MR 26:5593
    • M.F. Atiyah and F. Hirzebruch, The Riemann-Roch theorem for analytic embeddings, Topology 1 (1962) 151-166. MR 26:5593
    • (1962) Topology , vol.1 , pp. 151-166
    • Atiyah, M.F.1    Hirzebruch, F.2
  • 2
    • 33645936923 scopus 로고
    • On equivariant Euler characteristics
    • MR 92c:19005
    • M.F. Atiyah and G. Segal, On equivariant Euler characteristics, J. Geom. Phys. 6 (1989) 671-677. MR 92c:19005
    • (1989) J. Geom. Phys. , vol.6 , pp. 671-677
    • Atiyah, M.F.1    Segal, G.2
  • 3
    • 0003269087 scopus 로고
    • Compact Complex Surfaces
    • Springer, MR 86c:32026
    • W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces, Ergeb. Math. 4, Springer, 1984. MR 86c:32026
    • (1984) Ergeb. Math. , vol.4
    • Barth, W.1    Peters, C.2    Van De Ven, A.3
  • 4
    • 0002628241 scopus 로고
    • Representation of associative algebras and coherent sheaves
    • MR 90i:14017
    • A. Bondal, Representation of associative algebras and coherent sheaves, Math. USSR Izv. 34 (1990) 23-41. MR 90i:14017
    • (1990) Math. USSR Izv. , vol.34 , pp. 23-41
    • Bondal, A.1
  • 5
    • 84956114317 scopus 로고
    • Representable functors, Serre functors, and mutations
    • MR 91b:14013
    • A. Bondal and M. Kapranov, Representable functors, Serre functors, and mutations, Math. USSR Izv. 35 (1990) 519-541. MR 91b:14013
    • (1990) Math. USSR Izv. , vol.35 , pp. 519-541
    • Bondal, A.1    Kapranov, M.2
  • 6
    • 0001774493 scopus 로고    scopus 로고
    • Equivalences of triangulated categories and Fourier-Mukai transforms
    • MR 99k:18014
    • T. Bridgeland, Equivalences of triangulated categories and Fourier-Mukai transforms, Bull. London Math. Soc. 31 (1999) 25-34. MR 99k:18014
    • (1999) Bull. London Math. Soc. , vol.31 , pp. 25-34
    • Bridgeland, T.1
  • 8
    • 0347564673 scopus 로고    scopus 로고
    • preprint, math.AG 9909085
    • 3, preprint, math.AG 9909085, 29 pp.
    • 3
    • Craw, A.1    Reid, M.2
  • 9
    • 84972570012 scopus 로고
    • Sur quelques points d'algèbre homologique
    • MR 21:1328
    • A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J. 9 (1957) 119-221. MR 21:1328
    • (1957) Tôhoku Math. J. , vol.9 , pp. 119-221
    • Grothendieck, A.1
  • 10
    • 0001547946 scopus 로고
    • Construction géométrique de la correspondance de McKay
    • MR 85k:14019
    • G. Gonzalez-Sprinberg and J.-L. Verdier, Construction géométrique de la correspondance de McKay, Ann. Sci. École Norm. Sup. 16 (1983) 409-449. MR 85k:14019
    • (1983) Ann. Sci. École Norm. Sup. , vol.16 , pp. 409-449
    • Gonzalez-Sprinberg, G.1    Verdier, J.-L.2
  • 11
    • 0003364473 scopus 로고
    • Residues and Duality
    • Springer. MR 36:5145
    • R. Hartshorne, Residues and Duality, Lect. Notes Math. 20, Springer (1966). MR 36:5145
    • (1966) Lect. Notes Math. , vol.20
    • Hartshorne, R.1
  • 12
    • 0034311161 scopus 로고    scopus 로고
    • McKay correspondence and Hilbert schemes in dimension three
    • preprint, math.AG 9803120; CMP 2001:01
    • Y. Ito and H. Nakajima, McKay correspondence and Hilbert schemes in dimension three, preprint, math.AG 9803120; Topology 39 (2000) 1155-1191. CMP 2001:01
    • (2000) Topology , vol.39 , pp. 1155-1191
    • Ito, Y.1    Nakajima, H.2
  • 13
    • 0002875643 scopus 로고    scopus 로고
    • The McKay correspondence for finite subgroups of SL(3, ℂ)
    • (Trento, 1994), M. Andreatta et al., Eds., de Gruyter, MR 98i:14018
    • Y. Ito and M. Reid, The McKay correspondence for finite subgroups of SL(3, ℂ), in Higher dimensional complex varieties (Trento, 1994), M. Andreatta et al., Eds., de Gruyter, 1996, pp. 221-240. MR 98i:14018
    • (1996) Higher Dimensional Complex Varieties , pp. 221-240
    • Ito, Y.1    Reid, M.2
  • 15
    • 0034399015 scopus 로고    scopus 로고
    • Kleinian singularities, derived categories and Hall algebras
    • preprint, math.AG 9812016; CMP 2000:11
    • M. Kapranov and E. Vasserot, Kleinian singularities, derived categories and Hall algebras, preprint, math.AG 9812016; Math. Ann. 316 (2000) 565-576. CMP 2000:11
    • (2000) Math. Ann. , vol.316 , pp. 565-576
    • Kapranov, M.1    Vasserot, E.2
  • 16
    • 0003356529 scopus 로고
    • Categories for the working mathematician
    • Springer, MR 50:7275
    • S. Mac Lane, Categories for the working mathematician, Graduate Texts in Math. 5, Springer, 1971. MR 50:7275
    • (1971) Graduate Texts in Math. , vol.5
    • Mac Lane, S.1
  • 17
    • 84972539524 scopus 로고
    • Duality between D(X) and D(X̂) with its application to Picard sheaves
    • MR 82f:14036
    • S. Mukai, Duality between D(X) and D(X̂) with its application to Picard sheaves, Nagoya Math. J. 81 (1981) 153-175. MR 82f:14036
    • (1981) Nagoya Math. J. , vol.81 , pp. 153-175
    • Mukai, S.1
  • 18
    • 0347564690 scopus 로고    scopus 로고
    • Hilbert schemes of Abelian group orbits
    • to appear
    • I. Nakamura, Hilbert schemes of Abelian group orbits, to appear in J. Alg. Geom.
    • J. Alg. Geom.
    • Nakamura, I.1
  • 19
    • 0030543860 scopus 로고    scopus 로고
    • The Grothendieck duality theorem via Bousfield's techniques and Brown representability
    • MR 96c:18006
    • A. Neeman, The Grothendieck duality theorem via Bousfield's techniques and Brown representability, J. Amer. Math. Soc. 9 (1996) 205-236. MR 96c:18006
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 205-236
    • Neeman, A.1
  • 20
    • 0346933599 scopus 로고    scopus 로고
    • McKay correspondence
    • Kinosaki, Nov, T. Katsura (Ed.), alg-geom 9702016
    • M. Reid, McKay correspondence, in Proc. of algebraic geometry symposium (Kinosaki, Nov 1996), T. Katsura (Ed.), 14-41, alg-geom 9702016.
    • (1996) Proc. of Algebraic Geometry Symposium , pp. 14-41
    • Reid, M.1
  • 21
    • 0030120206 scopus 로고    scopus 로고
    • Minimal resolutions of Gorenstein orbifolds in dimension 3
    • MR 97c:14013
    • S.-S. Roan, Minimal resolutions of Gorenstein orbifolds in dimension 3, Topology 35 (1996) 489-508. MR 97c:14013
    • (1996) Topology , vol.35 , pp. 489-508
    • Roan, S.-S.1
  • 22
    • 0001030181 scopus 로고
    • Intersection theorems
    • (Berkeley, 1987), MSRI Publ. 15, Springer, MR 90j:13024
    • P. Roberts, Intersection theorems, in Commutative algebra (Berkeley, 1987), MSRI Publ. 15, Springer, 1989, pp. 417-436. MR 90j:13024
    • (1989) Commutative Algebra , pp. 417-436
    • Roberts, P.1
  • 24
    • 0013168281 scopus 로고    scopus 로고
    • Holomorphic symplectic geometry and orbifold singularities
    • preprint, math.AG 9903175; CMP 2001:05
    • M. Verbitsky, Holomorphic symplectic geometry and orbifold singularities, preprint, math.AG 9903175; Asian J. Math. 4 (2000) 553-563. CMP 2001:05
    • (2000) Asian J. Math. , vol.4 , pp. 553-563
    • Verbitsky, M.1
  • 25
    • 4243533133 scopus 로고    scopus 로고
    • Des catégories dérivées des catégories abéliennes
    • MR 98c:18007
    • J.-L. Verdier, Des catégories dérivées des catégories abéliennes, Astérisque 239 (1996). MR 98c:18007
    • (1996) Astérisque , vol.239
    • Verdier, J.-L.1


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