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UID:20260602T200315EDT-6664Tf2pTN@132.216.98.100
DTSTAMP:20260603T000315Z
DESCRIPTION:Title: Torsion points and concurrent exceptional curves on del 
 Pezzo surfaces of degree one.\n\nAbstract: The blow up of the anticanonica
 l base point on X\, a del Pezzo surface of degree 1\, gives rise to a rati
 onal elliptic surface E with only irreducible fibers. The sections of mini
 mal height of E are in correspondence with the 240 exceptional curves on X
 . A natural question arises when studying the configuration of those curve
 s : If a point of X is contained in « many » exceptional curves\, it is to
 rsion on its fiber on E? In 2005\, Kuwata proved for del Pezzo surfaces of
  degree 2 (where there is 56 exceptional curves) that if « many » equals 4
  or more\, then yes. With Rosa Winter\, we prove that for del Pezzo surfac
 es of degree 1\, if « many » equals 9 or more\, then yes. Additionally we 
 find counterexamples where a torsion point lies at the intersection lies a
 t the intersection of 7 exceptional curves.\n\n \n
DTSTART:20230309T153000Z
DTEND:20230309T163000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Julie Desjardins (University of Toronto)
URL:/mathstat/channels/event/julie-desjardins-universi
 ty-toronto-346602
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