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STRANGE DUALITY AND POLAR DUALITY

Published online by Cambridge University Press:  01 June 2000

WOLFGANG EBELING
WOLFGANG EBELING
Affiliation:
Institut für Mathematik, Universität Hannover, Postfach 6009, D-30060 Hannover, Germany; ebeling@math.uni-hannover.de
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Abstract

A relation is described between Arnold's strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. It is shown that this relation continues to hold for the extension of Arnold's strange duality found by C. T. C. Wall and the author. By a method of Ehlers–Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed from the Newton diagram. This method is generalized to the isolated complete intersection singularities embraced in the extended duality. This is used to explain the duality of characteristic polynomials of the monodromy discovered by K. Saito for Arnold's original strange duality and extended by the author to the other cases.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 823 - 834
Copyright
The London Mathematical Society 2000

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