Middle East Technical University ODTÜ-Bilkent Algebraic Geometry Seminars

Lines in polarized K3-surfaces
Alexander Degtyarev
Bilkent University, Turkey
Özet : I will explain the proof of my conjectures (reported earlier in this seminar) on the maximal number of straight lines in sextic surfaces in P4, (42 lines) and octic surfaces/triquadrics in P5, (36 lines). I will also try to make it clear that the complexity of the problem decreases when the polarization grows. The asymptotic bound for K3-surfaces in large projective spaces is 24 lines, all constituting fiber components of an elliptic pencil.
  Tarih : 31.03.2017
  Saat : 15:40
  Yer : Mathematics Seminar Room, ODTU.
  Dil : English