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arxiv: 1009.1611 · v2 · pith:UI2DNFJCnew · submitted 2010-09-08 · 🧮 math.AG

Motivic invariant of real polynomial functions and Newton polyhedron

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keywords functionsrealmotivicnewtonpolyhedronpolynomialblow-nashcomputation
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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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