## Algebraic Geometry Seminar: Daniel Erman

• Date: 01/03/2013
• Time: 15:30
Lecturer(s):
Daniel Erman, University of Michigan
Location:

University of British Columbia

Topic:

Semiample Bertini Theorems over Finite Fields

Description:

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.

Other Information:

Location: ESB 4133