Abelian Varieties Multi-Site Seminar Series: Jeff Achter
- Date: 02/09/2017
Colorado State University
Distinguished models of intermediate Jacobians [video]
Consider a smooth projective variety over a number field. The image of the associated (complex) Abel-Jacobi map inside the (transcendental) intermediate Jacobian is a complex abelian variety. We show that this abelian variety admits a distinguished model over the original number field, and use it to address a problem of Mazur on modeling the cohomology of an arbitrary smooth projective variety by that of an abelian variety.
(This is joint work with Sebastian Casalaina-Martin and Charles Vial.)
Main Location: Colorado State University
Time: 11/12/14/20 PST/MST/EST/CET