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UID:1106@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160303T140000
DTEND;TZID=Europe/Paris:20160303T150000
DTSTAMP:20160217T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/a-polyhedral-characterization-o
 f-quasi-ordinary-singularities/
SUMMARY: (...): A polyhedral characterization of quasi-ordinary singulariti
 es
DESCRIPTION:: Let {X} be an irreducible hypersurface given by a polynomial 
 {f} in {K}[ [ x1\,...\, xd ] ][{z}]\, where {K} denotes an algebraically c
 losed field of characteristic zero. The variety {X} is called quasi-ordina
 ry with respect to the projection to the affine space defined by {K}[ [ x1
 \,...\, xd ] ] if the discriminant of {f} is a monomial times a unit. In m
 y talk I am going to present the construction of an invariant that allows 
 to detect whether a given polynomial {f} (with fixed projection) defines a
  quasi-ordinary singularity. This involves a weighted version of Hironaka'
 s characteristic polyhedron and successive embeddings of the singularity i
 n affine spaces of higher dimensions. Further\, I will explain how the con
 struction permits to view {X} as an "overweight deformation" of a toric va
 riety which leads then to the proof of our characterization.https://sites.
 google.com/site/scb16105/
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DTSTART:20151025T020000
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