Algebraic Geometry Seminar: Daniel Erman
- Date: 01/03/2013
- Time: 15:30
University of British Columbia
Semiample Bertini Theorems over Finite Fields
For a smooth projective variety over a finite field, Poonen’s Bertini Theorem computes the probability that a high degree hypersurface section of that variety will be smooth. We prove a semiample generalization of Poonen's result, where the probability of smoothness is computed as a product of local probabilities taken over the ﬁbers of a corresponding morphism. This is joint with Melanie Matchett Wood.
Location: ESB 4133