Title: THE MCKAY CORRESPONDENCE – A BRIDGE FROM ALGEBRA TO GEOMETRY
Abstract:European Women in Mathematics, pp. 127-147 (2003) No AccessTHE MCKAY CORRESPONDENCE – A BRIDGE FROM ALGEBRA TO GEOMETRYYUKARI ITOYUKARI ITODepartment of Mathematics, Tokyo Metropolitan University, Hac...European Women in Mathematics, pp. 127-147 (2003) No AccessTHE MCKAY CORRESPONDENCE – A BRIDGE FROM ALGEBRA TO GEOMETRYYUKARI ITOYUKARI ITODepartment of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, JapanThe author is partially supported by JSPS, the Grant-in-aid for Scientific Research (No.13740019).https://doi.org/10.1142/9789812704276_0007Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: In this paper, we discuss the McKay correspondence as a relation between geometry of a resolution of quotient singularity and algebra of the group which acts. To see an example of the generalized McKay correspondence, we consider concrete constructions of crepant resolutions for any finite subgroup of SL(3, ℂ). Moreover, we draw an atlas of the generalized McKay correspondence to look around inside this world. Dedication: to Emily on her 3rd birthdayKeywords: McKay correspondenceresolution of singularitygroup representationAMSC: 14C05, 14E15 FiguresReferencesRelatedDetailsCited By 2Resolution à la Kronheimer of $$\mathbb {C}^3/\Gamma $$ singularities and the Monge–Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravityMassimo Bianchi, Ugo Bruzzo, Pietro Fré and Dario Martelli16 June 2021 | Letters in Mathematical Physics, Vol. 111, No. 3The Kähler Quotient Resolution of $${{\mathbb{C}}^3/ \Gamma}$$ C 3 / Γ Singularities, the McKay Correspondence and $${D = 3\,\,\mathcal{N} = 2}$$ D = 3 N = 2 Chern–Simons Gauge TheoriesUgo Bruzzo, Anna Fino and Pietro Fré30 July 2018 | Communications in Mathematical Physics, Vol. 365, No. 1 European Women in MathematicsMetrics History KeywordsMcKay correspondenceresolution of singularitygroup representationPDF downloadRead More
Publication Year: 2003
Publication Date: 2003-03-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 4
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