메뉴 건너뛰기




Volumn 161, Issue 3, 2005, Pages 1521-1569

McKay correspondence for elliptic genera

Author keywords

[No Author keywords available]

Indexed keywords


EID: 28144465116     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2005.161.1521     Document Type: Article
Times cited : (43)

References (34)
  • 2
    • 0034349111 scopus 로고    scopus 로고
    • Weak semistable reduction in characteristic 0
    • D. ABRAMOVICH and K. KARU, Weak semistable reduction in characteristic 0, Invent. Math. 139 (2000), 241-273.
    • (2000) Invent. Math. , vol.139 , pp. 241-273
    • Abramovich, D.1    Karu, K.2
  • 3
    • 0031287206 scopus 로고    scopus 로고
    • Equivariant resolution of singularities in characteristic 0
    • D. ABRAMOVICH and J. WANG, Equivariant resolution of singularities in characteristic 0, Math. Res. Lett. 4 (1997), 427-433.
    • (1997) Math. Res. Lett. , vol.4 , pp. 427-433
    • Abramovich, D.1    Wang, J.2
  • 4
    • 0002840891 scopus 로고    scopus 로고
    • Stringy Hodge numbers of varieties with Gorenstein canonical singularities
    • (Kobe/Kyoto, 1997), World Sci. Publishing, River Edge, NJ
    • V. V. BATYREV, Stringy Hodge numbers of varieties with Gorenstein canonical singularities, in Integrable Systems and Algebraic Geometry (Kobe/Kyoto, 1997), 1-32, World Sci. Publishing, River Edge, NJ, 1998.
    • (1998) Integrable Systems and Algebraic Geometry , pp. 1-32
    • Batyrev, V.V.1
  • 5
    • 0003189255 scopus 로고    scopus 로고
    • Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
    • V. V. BATYREV, Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs, J. Eur. Math. Soc. (JEMS) 1 (1999), 5-33.
    • (1999) J. Eur. Math. Soc. (JEMS) , vol.1 , pp. 5-33
    • Batyrev, V.V.1
  • 6
    • 0034349013 scopus 로고    scopus 로고
    • Elliptic genera of toric varieties and applications to mirror symmetry
    • L. A. BORISOV and A. LIBGOBER, Elliptic genera of toric varieties and applications to mirror symmetry, Invent. Math. 140 (2000), 453-485.
    • (2000) Invent. Math. , vol.140 , pp. 453-485
    • Borisov, L.A.1    Libgober, A.2
  • 7
    • 0037332212 scopus 로고    scopus 로고
    • Elliptic genera of singular varieties
    • _, Elliptic genera of singular varieties, Duke Math. J. 116 (2003), 319-351.
    • (2003) Duke Math. J. , vol.116 , pp. 319-351
  • 8
    • 77952207231 scopus 로고    scopus 로고
    • Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex
    • Mirror Symmetry, IV (Montreal, QC, 2000), A.M.S., Providence, RI
    • _, Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex, in Mirror Symmetry, IV (Montreal, QC, 2000), 325-342, AMS/IP Stud. Adv. Math. 33, A.M.S., Providence, RI, 2002.
    • (2002) AMS/IP Stud. Adv. Math. , vol.33 , pp. 325-342
  • 10
    • 0036269740 scopus 로고    scopus 로고
    • Motivic integration, quotient singularities and the McKay correspondence
    • J. DENEF and F. LOESER, Motivic integration, quotient singularities and the McKay correspondence, Compositio Math. 131 (2002), 267-290.
    • (2002) Compositio Math. , vol.131 , pp. 267-290
    • Denef, J.1    Loeser, F.2
  • 11
    • 0001399319 scopus 로고    scopus 로고
    • Elliptic genera of symmetric products and second quantized strings
    • R. DIJKGRAAF, G. MOORE, E. VERLINDE, and H. VERLINDE, Elliptic genera of symmetric products and second quantized strings, Comm. Math. Phys. 185 (1997), 197-209.
    • (1997) Comm. Math. Phys. , vol.185 , pp. 197-209
    • Dijkgraaf, R.1    Moore, G.2    Verlinde, E.3    Verlinde, H.4
  • 14
    • 30444442730 scopus 로고    scopus 로고
    • On orbifold elliptic genus
    • Orbifolds in Mathematics and Physics (Madison, WI, 2001), A. M. S., Providence, RI
    • C. DONG, K. LIU, and X. MA, On orbifold elliptic genus, in Orbifolds in Mathematics and Physics (Madison, WI, 2001), 87-105, Contemp. Math. 310, A. M. S., Providence, RI, 2002.
    • (2002) Contemp. Math. , vol.310 , pp. 87-105
    • Dong, C.1    Liu, K.2    Ma, X.3
  • 17
    • 0007030393 scopus 로고    scopus 로고
    • Orbifold-Hodge numbers of Hilbert schemes
    • Parameter Spaces (Warsaw, 1994), Polish Acad. Sci., Warsaw
    • L. GÖTTSCHE, Orbifold-Hodge numbers of Hilbert schemes, in Parameter Spaces (Warsaw, 1994), 83-87, Banach Center Publ. 36, Polish Acad. Sci., Warsaw, 1996.
    • (1996) Banach Center Publ. , vol.36 , pp. 83-87
    • Göttsche, L.1
  • 18
    • 0002667315 scopus 로고    scopus 로고
    • Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
    • V. GRITSENKO, Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms, Algebra i Analiz 11 (1999), 100-125;
    • (1999) Algebra i Analiz , vol.11 , pp. 100-125
    • Gritsenko, V.1
  • 19
    • 0000542292 scopus 로고    scopus 로고
    • English translation in
    • English translation in St. Petersburg Math. Journal 11 (2000), 781-804.
    • (2000) St. Petersburg Math. Journal , vol.11 , pp. 781-804
  • 20
    • 0001199084 scopus 로고
    • On the Euler number of an orbifold
    • F. HIRZEBRUCH and T. HÖFER, On the Euler number of an orbifold, Math. Ann. 286 (1990), 255-260.
    • (1990) Math. Ann. , vol.286 , pp. 255-260
    • Hirzebruch, F.1    Höfer, T.2
  • 22
    • 0038524954 scopus 로고    scopus 로고
    • D-equivalence and K-equivalence
    • Y. KAWAMATA, D-equivalence and K-equivalence, J. Differential Geom. 61 (2002), 147-171.
    • (2002) J. Differential Geom. , vol.61 , pp. 147-171
    • Kawamata, Y.1
  • 24
    • 0003247554 scopus 로고    scopus 로고
    • Birational geometry of algebraic varieties
    • (with the collaboration of C. H. Clemens and A. Corti), Cambridge Univ. Press, Cambridge
    • J. KOLLÁR and S. MORI, Birational Geometry of Algebraic Varieties (with the collaboration of C. H. Clemens and A. Corti), Cambridge Tracts in Math. 134, Cambridge Univ. Press, Cambridge, 1998.
    • (1998) Cambridge Tracts in Math. , vol.134
    • Kollár, J.1    Mori, S.2
  • 26
    • 0001725903 scopus 로고
    • Generalized elliptic genera and Baker-Akhiezer functions
    • I. KRICHEVER, Generalized elliptic genera and Baker-Akhiezer functions, Math. Notes 47 (1990), 132-142.
    • (1990) Math. Notes , vol.47 , pp. 132-142
    • Krichever, I.1
  • 28
    • 33748755642 scopus 로고    scopus 로고
    • Motivic measures
    • Séminaire Bourbaki 1999/2000
    • E. LOOIJENGA, Motivic. measures, in Séminaire Bourbaki 1999/2000, Astérisque 276 (2002), 267-297.
    • (2002) Astérisque , vol.276 , pp. 267-297
    • Looijenga, E.1
  • 30
    • 0001280810 scopus 로고
    • Graphs, singularities and finite groups
    • The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), A.M.S., Providence, RI
    • J. MCKAY, Graphs, singularities and finite groups, in The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), Proc. Sympos. Pure Math. 37, 183-186, A.M.S., Providence, RI, 1980.
    • (1980) Proc. Sympos. Pure Math. , vol.37 , pp. 183-186
    • Mckay, J.1
  • 31
    • 0037504813 scopus 로고    scopus 로고
    • La correspondance de McKay
    • Séminaire Bourbaki 1999/2000, Exposes 865-879
    • M. REID, La correspondance de McKay, in Séminaire Bourbaki 1999/2000, Exposes 865-879, Astérisque 276 (2002), 53-72.
    • (2002) Astérisque , vol.276 , pp. 53-72
    • Reid, M.1
  • 32
    • 0034415144 scopus 로고    scopus 로고
    • Chern numbers of singular varieties and elliptic homology
    • B. TOTARO, Chern numbers of singular varieties and elliptic homology, Ann. of Math. 151 (2000), 757-791.
    • (2000) Ann. of Math. , vol.151 , pp. 757-791
    • Totaro, B.1
  • 33
    • 0037376614 scopus 로고    scopus 로고
    • K-equivalence in birational geometry and characterizations of complex elliptic genera
    • C.-L. WANG, K-equivalence in birational geometry and characterizations of complex elliptic genera, J. Algebraic Geom. 12 (2003), 285-306.
    • (2003) J. Algebraic Geom. , vol.12 , pp. 285-306
    • Wang, C.-L.1
  • 34
    • 0013539579 scopus 로고    scopus 로고
    • Orbifold Hodge numbers of the wreath product orbifolds
    • W. WANG and J. ZHOU, Orbifold Hodge numbers of the wreath product orbifolds, J. Geom. Phys. 38 (2001), 152-169.
    • (2001) J. Geom. Phys. , vol.38 , pp. 152-169
    • Wang, W.1    Zhou, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.