THE MCKAY CORRESPONDENCE – A BRIDGE FROM ALGEBRA TO GEOMETRY

Yukari Ito
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Yukari Ito: Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan

Chapter 7 in European Women in Mathematics, 2003, pp 127-147 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractIn 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.

Keywords: Mathematical Finance; Geometry; Cohomology (search for similar items in EconPapers)
Date: 2003
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