We propose a computation of real motivic zeta functions for real polynomial
functions, using Newton polyhedron. As a consequence we show that the weights
are blow-Nash invariants of convenient weighted homogeneous polynomials in
three variables.Comment: 22 pages in Math. Proc. Camb. Phil. Soc, 201

Fichou, Goulwen

Fukui, Toshizumi

Mathematical Proceedings of the Cambridge Philosophical Society

English

arXiv

AbstractWe 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.</jats:p

GOULWEN FICHOU

TOSHIZUMI FUKUI

Crossref

Motivic invariants of real polynomial functions and their Newton polyhedrons

22 pagesInternational audienceWe propose a computation of real motivic zeta functions for real polynomial functions, using Newton polyhedron. As a consequence we show that the weights are blow-Nash invariants of convenient weighted homogeneous polynomials in three variables

Hal-Diderot

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