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The Mckay Correspondence – A Bridge From Algebra To Geometry

In: European Women In Mathematics

Author

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  • YUKARI ITO

    (Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)

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.

Suggested Citation

  • Yukari Ito, 2003. "The Mckay Correspondence – A Bridge From Algebra To Geometry," World Scientific Book Chapters, in: Emilia Mezzetti & Sylvie Paycha (ed.), European Women In Mathematics, chapter 7, pages 127-147, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812704276_0007
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