메뉴 건너뛰기




Volumn 32, Issue 2, 2003, Pages 317-333

Special representations and the two-dimensional mckay correspondence

Author keywords

(Cyclic) quotient surface singularities; Hilbert schemes; McKay correspondence; Reflexive sheaves; Special representations

Indexed keywords


EID: 85017197608     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1350657526     Document Type: Article
Times cited : (13)

References (25)
  • 1
    • 0007390387 scopus 로고
    • Reflexive modules over rational double points
    • Artin M. And Verdier J.-L., Reflexive modules over rational double points. Math. Ann. 270 (1985), 79-82.
    • (1985) Math. Ann , vol.270 , pp. 79-82
    • Artin, M.1    Verdier, J.-L.2
  • 3
    • 85035279516 scopus 로고
    • Warsaw: Polish Scientific Publishers
    • Banach Center Publications 20, Warsaw: Polish Scientific Publishers 1988.
    • (1988)
  • 4
    • 0035632205 scopus 로고    scopus 로고
    • The McKay correspondence as an equivalence of derived categories
    • Bridgeland T., King A. And Reid M., The McKay correspondence as an equivalence of derived categories. J. Amer. Math. Soc. 14 (3) (2001), 535-554.
    • (2001) J. Amer. Math. Soc , vol.14 , Issue.3 , pp. 535-554
    • Bridgeland, T.1    King, A.2    Reid, M.3
  • 5
    • 0034288301 scopus 로고    scopus 로고
    • On the exceptional fibres of Kleinian singularities
    • Crawley-Boevey W., On the exceptional fibres of Kleinian singularities. Am. J. Math. 122 (5) (2000), 1027-1037.
    • (2000) Am. J. Math , vol.122 , Issue.5 , pp. 1027-1037
    • Crawley-Boevey, W.1
  • 6
    • 84942402202 scopus 로고
    • Reflexive modules on quotient surface singularities
    • Esnault H., Reflexive modules on quotient surface singularities. J. Reine Angew. Math. 362 (1985), 63-71.
    • (1985) J. Reine Angew. Math , vol.362 , pp. 63-71
    • Esnault, H.1
  • 7
    • 0042789206 scopus 로고
    • Reflexive modules over rational double points
    • Esnault H. And Knörrer H., Reflexive modules over rational double points. Math. Ann. 272 (1985), 545-548.
    • (1985) Math. Ann , vol.272 , pp. 545-548
    • Esnault, H.1    Knörrer, H.2
  • 10
    • 0042168743 scopus 로고    scopus 로고
    • On the McKay correspondence for a finite small subgroup of GL(2, C)
    • Ishii A., On the McKay correspondence for a finite small subgroup of GL(2, C). Journal für die Reine und Angewandte Mathematik 549 (2002), 221-233.
    • (2002) Journal für Die Reine Und Angewandte Mathematik , vol.549 , pp. 221-233
    • Ishii, A.1
  • 11
    • 77950298854 scopus 로고    scopus 로고
    • Special McKay correspondence
    • Grenoble 2000. Organized by Laurent Bonavero and Michel Brion. Sèminaires&Congrès
    • Ito Y., Special McKay correspondence. In: Proceedings of the summer school on toric varieties, Grenoble 2000. Organized by Laurent Bonavero and Michel Brion. Sèminaires&Congrès 6 (2002), 213-225.
    • (2002) Proceedings of the Summer School on Toric Varieties , vol.6 , pp. 213-225
    • Ito, Y.1
  • 12
    • 21444453600 scopus 로고    scopus 로고
    • McKay correspondence and Hilbert schemes
    • Ito Y. And Nakamura I., McKay correspondence and Hilbert schemes. Proc. Japan Acad. Ser. A 72, No.7 (1996), 135-138.
    • (1996) Proc. Japan Acad. Ser. A , vol.72 , Issue.7 , pp. 135-138
    • Ito, Y.1    Nakamura, I.2
  • 13
    • 0039205542 scopus 로고    scopus 로고
    • Hilbert schemes and simple singularities
    • Selected papers presented at the Euro conference, Warwick
    • Ito Y. And Nakamura I., Hilbert schemes and simple singularities. In: New trends in algebraic geometry. Selected papers presented at the Euro conference, Warwick 1996.
    • (1996) New Trends in Algebraic Geometry
    • Ito, Y.1    Nakamura, I.2
  • 14
    • 0039205542 scopus 로고    scopus 로고
    • Cambridge University Press: Cambridge
    • Hulek, K., et al. (eds.). London Math. Soc. Lect. Note Ser. 264, pp. 151-233. Cambridge University Press: Cambridge 1999.
    • (1999) London Math. Soc. Lect. Note Ser , vol.264 , pp. 151-233
    • Hulek, K.1
  • 15
    • 0034399015 scopus 로고    scopus 로고
    • Kleinian singularities, derived categories and Hall algebras
    • Kapranov M. And Vasserot E., Kleinian singularities, derived categories and Hall algebras. Math. Ann. 316 (3) (2000), 565-576.
    • (2000) Math. Ann , vol.316 , Issue.3 , pp. 565-576
    • Kapranov, M.1    Vasserot, E.2
  • 16
    • 0042288151 scopus 로고    scopus 로고
    • Hilbert schemes and cyclic quotient singularities
    • Kidoh R., Hilbert schemes and cyclic quotient singularities. Hokkaido Math. Journal 30 (2001), 91-103.
    • (2001) Hokkaido Math. Journal , vol.30 , pp. 91-103
    • Kidoh, R.1
  • 17
    • 84972540623 scopus 로고
    • The construction of ALE spaces as hyper-Kähler quotients
    • Kronheimer P., The construction of ALE spaces as hyper-Kähler quotients. J. Diff. Geom. 29 (1989), 665-697.
    • (1989) J. Diff. Geom , vol.29 , pp. 665-697
    • Kronheimer, P.1
  • 18
    • 0001280810 scopus 로고
    • Graphs, singularities and finite groups
    • Santa Cruz 1997. Proc. Symp. Pure Math
    • McKay J., Graphs, singularities and finite groups. In: Finite groups, Santa Cruz 1997. Proc. Symp. Pure Math. 37 (1980), 183-186.
    • (1980) Finite Groups , vol.37 , pp. 183-186
    • McKay, J.1
  • 19
    • 84931807803 scopus 로고
    • Deformations of quotient surface singularities
    • Providence: AMS
    • Pinkham H.C., Deformations of quotient surface singularities. Symposia in Pure Mathematics, Vol. 10. Providence: AMS 1976.
    • (1976) Symposia in Pure Mathematics , vol.10
    • Pinkham, H.C.1
  • 20
    • 84859282576 scopus 로고    scopus 로고
    • Séminaire Bourbaki, Éxposés 865-879Paris: Société Mathématiques de France, Astérisque 276
    • Reid M., La correspondence de McKay. Séminaire Bourbaki. Volume 1999/2000. Éxposés 865-879. Paris: Société Mathématiques de France, Astérisque 276 (2002), 53-72.
    • (2002) La Correspondence De Mckay , vol.1999-2000 , pp. 53-72
    • Reid, M.1
  • 21
    • 85035273254 scopus 로고
    • Characterization and application of special reflexive modules on rational surface singularities
    • Riemenschneider O., Characterization and application of special reflexive modules on rational surface singularities. Institut Mittag-Leffler Report No.3, 1987.
    • (1987) Institut Mittag-Leffler , Issue.3
    • Riemenschneider, O.1
  • 22
    • 85035293321 scopus 로고    scopus 로고
    • Cyclic quotient surface singularities: Constructing the Artin component via the McKay-quiver
    • Sunrikaiseki Kenkyuosho Kokyuroku (RIMS Symposium Report) Nr
    • Riemenschneider O., Cyclic quotient surface singularities: Constructing the Artin component via the McKay-quiver. In: Singularities and Complex Analytic Geornetry. Sunrikaiseki Kenkyuosho Kokyuroku (RIMS Symposium Report) Nr. 1033 (1998), 163-171.
    • (1998) Singularities and Complex Analytic Geornetry , vol.1033 , pp. 163-171
    • Riemenschneider, O.1
  • 24
    • 4043080118 scopus 로고
    • Reflexive modules on cyclic quotient surface singularities
    • Greuel, G.-M., Trautmann, G, (eds.). Lect. Notes Math., Springer: Berlin Heidelberg New York
    • Wunram J., Reflexive modules on cyclic quotient surface singularities. In: Singularities, representations of algebras, and vector bundles. Greuel, G.-M., Trautmann, G. (eds.). Lect. Notes Math. Vol. 1273. Springer: Berlin Heidelberg New York 1987.
    • (1987) Singularities, Representations of Algebras, and Vector Bundles
    • Wunram, J.1
  • 25
    • 0040464979 scopus 로고
    • Reflexive modules on quotient surface singularities
    • Wunram J., Reflexive modules on quotient surface singularities. Math. Ann. 279 (1988), 583-598.
    • (1988) Math. Ann , vol.279 , pp. 583-598
    • Wunram, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.