Characteristic polyhedra of singularities without completion

Details Characteristic polyhedra of singularities without completion Characteristic polyhedra of singularities without completion

2012-03-12

arxiv.org/abs/1203.2484v1

Mathematics

Algebraic Geometry

Scientific paper

Let $(R,M,k)$ be a regular local G-ring with regular system of parameters
$(u_1,...,u_d,y)$. We prove that the Hironaka characteristic polyhedron $\Delta
(f;u_1,...,u_d)$, $f \not \in (u_1,...,u_d)$ of a hypersurface singularity
$X={\rm Spec}R/(f)$ can be computed in some system of coordinates belonging to
$R$. No assumption on the residue characteristic is required.

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