The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron (Q2363640)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron |
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The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron (English)
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25 July 2017
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The author presents a version of Igusa's stationary phase formula (SPF) for motivic zeta functions. By using the SPF, the author computes the motivic zeta functions attached to polynomials which are non-degenerated with respect to their Newton polyhedra. It is important to mention that all calculations are performed in arbitrary characteristic and without using resolution of singularities.
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stationary phase formula
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motivic Igusa's zeta functions
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Newton polyhedron
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non-degeneracy conditions
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