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SUMMARY:Irreducible rational curves in a K3 surface - Jun Li (Stanford)
DTSTART:20110126T141500Z
DTEND:20110126T151500Z
UID:TALK28597@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:We prove that every K3 surface of odd Picard number has infi
 nitely many\nirreducible rational curves.\nThe proof follows the method of
  Bogomolov-Hassett-Tschinkel\, which uses that all (non-supersingular) K3
 \nsurfaces over finite\nfields have even Picard number. Using what we\ncal
 l "rigidifiers" and reduction to characteristic p\, we\nconstruct rational
  curves of arbitrarily high degree\nby deforming rigid stable maps.
LOCATION:MR13\, CMS
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