Videos

Pluri-canonical maps in positive characteristic

Presenter
May 8, 2013
Keywords:
  • characteristic p
  • commutative algebra
  • birational algebraic geometry
  • multiplier ideals
  • singularities of varieties
MSC:
  • 13A35
  • 13A15
  • 13A18
  • 13Axx
  • 13-xx
  • 14-xx
  • 14Exx
  • 14E05
  • 14E15
Abstract
For a nonsingular projective variety X of general type, it is known that |m K_X| induces a birational map for any sufficiently large m. It is an important problem to bound this integer m. In this talk, we will show that, in positive characteristic, |4 K_X| is birational providing that X has maximal Albanese dimension and the Albanese map is separable.