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UID:7635@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170207T110000
DTEND;TZID=Europe/Paris:20170207T120000
DTSTAMP:20241120T204433Z
URL:https://www.i2m.univ-amu.fr/evenements/severi-varieties-of-nodal-curve
 s-on-surfaces/
SUMMARY: (...): Severi Varieties of nodal curves on surfaces
DESCRIPTION:: Given any algebraic projective curve $C$\, it can be realized
  as a plane curve with at most nodes. For this reason\, starting with F. E
 nriques and F. Severi in the first couple of decades of last century\, alg
 ebraic geometers started getting interested in families of plane curves wi
 th a fixed degree $d$ and a given number $\\delta$ of nodes. In more recen
 t times these families have been baptized \\emph{Severi varieties} and sui
 table versions of them have been considered also on surfaces other than th
 e projective plane\, especially on $K3$ surfaces The study of Severi varie
 ties\, in the plane as well as in other surfaces\, is a milestone in algeb
 raic geometry\, has several interesting and attractive aspects and is quit
 e active nowadays\, especially concerning enumerative questions.  In this 
  talk I will try to summarize some of the main known results on the subjec
 t and explain a variety of different techniques introduced for studying th
 em. Time permitting\, I will in particular mention some work in progress w
 ith Th. Dedieu on the subject\, based on degeneration techniques.https://w
 ww.mat.uniroma2.it/~cilibert/
CATEGORIES:Séminaire,Géométrie Complexe
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