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Journal Articles Mathematical Proceedings of the Cambridge Philosophical Society Year : 2016

Motivic invariants of real polynomial functions and their Newton polyhedrons

Abstract

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.
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Dates and versions

hal-00516080 , version 1 (08-09-2010)
hal-00516080 , version 2 (14-10-2015)

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Goulwen Fichou, Toshizumi Fukui. Motivic invariants of real polynomial functions and their Newton polyhedrons. Mathematical Proceedings of the Cambridge Philosophical Society, 2016, 160 (1), pp.141-166. ⟨10.1017/S030500411500064X⟩. ⟨hal-00516080v2⟩
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