Motivic invariant of real polynomial functions and Newton polyhedron
arXiv:1009.1611
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.
22 pages in Math. Proc. Camb. Phil. Soc, 2015