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More congruences for numerical data of an embedded resolution

Published online by Cambridge University Press:  04 December 2007

WILLEM VEYS
WILLEM VEYS
Affiliation:
Department Wiskunde, Celestijnenlaan 200B, B-3001 ouvain, Belgium; e-mail: [email protected]
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Abstract

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To an arbitrary intersection of exceptional varieties of an embedded resolution we associate a finite number of congruences between naturally occurring multiplicities. This theory generalizes previous results concerning just one exceptional variety. Moreover we describe precise equalities which imply the congruences and we give some applications on the poles of Igusa‘s local zeta function.

Keywords

Resolution of singularitiesnumerical dataIgusa‘s local zeta function.
Type
Research Article
Information
Compositio Mathematica , Volume 112 , Issue 3 , July 1998 , pp. 313 - 331
Copyright
© 1998 Kluwer Academic Publishers