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UID:6898@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191128T133000
DTEND;TZID=Europe/Paris:20191128T143000
DTSTAMP:20250118T133419Z
URL:https://www.i2m.univ-amu.fr/evenements/adam-parusinski-zariski-s-dimen
 sionality-type-case-of-dimensionality-type-two/
SUMMARY: (...): Adam PARUSINSKI - Zariski's dimensionality type. Case of di
 mensionality type two
DESCRIPTION:: Adam PARUSINSKI (Laboratoire J. A. Dieudonné\, Université N
 ice Sophia-Antipolis)\n\nIn 1979 O. Zariski proposed a general theory of e
 quisingularity for algebraic or algebroid hypersurfaces over an algebraica
 lly closed field of characteristic zero. It is based on the notion of dime
 nsionality type that is defined recursively by considering the discriminan
 ts loci of subsequent "generic" projections. The singularities of dimensio
 nality type 1 are isomorphic to the equisingular families of plane curve s
 ingularities.\n\nIn this talk we consider the case of dimensionality type 
 2\, the Zariski equisingular families of surface singularities in 3-space.
  Using an approach going back to Briançon and Henry\, we show that in thi
 s case generic linear projections are generic in the sense of Zariski (thi
 s is still open for dimensionality type greater than 2). Over the field of
  complex numbers\, we show that such families are bi-Lipschitz trivial\, b
 y construction of an explicit Lipschitz stratification. (Based on joint wo
 rk with L. Paunescu.)\n\nhttps://math.unice.fr/~parus/
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Adam_Parusinski.jpg
CATEGORIES:Groupe de travail,Singularités
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