English

Motivic invariant of real polynomial functions and Newton polyhedron

Algebraic Geometry 2015-10-15 v2

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.

Keywords

Cite

@article{arxiv.1009.1611,
  title  = {Motivic invariant of real polynomial functions and Newton polyhedron},
  author = {Goulwen Fichou and Toshizumi Fukui},
  journal= {arXiv preprint arXiv:1009.1611},
  year   = {2015}
}

Comments

22 pages in Math. Proc. Camb. Phil. Soc, 2015