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SUMMARY:Xavier Roulleau (Université d’Aix-Marseille)
DTSTART:20200526T160000Z
DTEND:20200526T170000Z
DTSTAMP:20260423T022628Z
UID:Geolis/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/3/">O
 n a special configuration of 12 conics and a related  K3 surface</a>\nby X
 avier Roulleau (Université d’Aix-Marseille) as part of Geometria em Lis
 boa (IST)\n\n\nAbstract\nA generalized Kummer surface $X$ obtained as the 
 quotient of an abelian surface by a symplectic automorphism of order 3 con
 tains a $9{\\mathbf A}_{2}$-configuration of $(-2)$-curves (ie smooth rati
 onal curves). Such a configuration plays the role of the $16$ disjoint $(-
 2)$-curves for the usual Kummer surfaces.<br>\nIn this talk we will explai
 n how construct $9$ other such $9{\\mathbf A}_{2}$-configurations on the g
 eneralized Kummer surface associated to the double cover of the plane bran
 ched over the sextic dual curve of a cubic curve. <br>\nThe new $9{\\mathb
 f A}_{2}$-configurations are obtained by taking the pullback of a certain 
 configuration of $12$ conics which are in special position with respect to
  the branch curve\, plus some singular quartic curves. We will then explai
 n how construct some automorphisms of the K3 surface sending one configura
 tion to another. <br>\n(Joint work with David Kohel and Alessandra Sarti).
 \n
LOCATION:https://researchseminars.org/talk/Geolis/3/
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