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The zeta function of a quasi-ordinary singularity
Published online by Cambridge University Press: 04 December 2007
Abstract
We prove that the zeta function of an irreducible hypersurface quasi-ordinary singularity f equals the zeta function of a plane curve singularity g. If the local coordinates $(x_1,\dots,x_{d+1})$ of f are ‘nice’, then $g=f(x_1,0,\dots,0,x_{d+1})$. Moreover, the Puiseux pairs of g can also be recovered from (any set of) distinguished tuples of f.
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- Research Article
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- Foundation Compositio Mathematica 2004
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