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Motivic invariants of real polynomial functions and their Newton polyhedrons
Published online by Cambridge University Press: 26 November 2015
Abstract
We give an expression of the motivic zeta function for a real polynomial function in terms of the Newton polyhedron of the function. As a consequence, we show that the weights are determined by the motivic zeta function for convenient weighted homogeneous polynomials in three variables. We apply this result to the blow-Nash equivalence.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 160 , Issue 1 , January 2016 , pp. 141 - 166
- Copyright
- Copyright © Cambridge Philosophical Society 2015
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