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Journal of the London Mathematical Society 2003 68(2):307-316; doi:10.1112/S0024610703004514
© 2003 by London Mathematical Society
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© The London Mathematical Society

On the Number of Crepant Valuations of Canonical Singularities

Mirel Caibar

Department of Mathematics, University of North Carolina Chapel Hill, NC 27599, USA, mcaibar{at}math.unc.edu

Received 11 June 2001. Revision received 24 May 2002.

The number of crepant valuations of an isolated canonical singularity 0isin X :(f=0)subCn, which is assumed to be nondegenerate with respect to its Newton polyhedron, is calculated in terms of weightings and the Newton polyhedron of f.


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