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.