Student Algebraic Geometry Date:  Monday, April 01, 2013 Location:  4088 East Hall (3:00 PM to 4:00 PM) Title:  Elliptic curves in abelian varieties Abstract:   It is well known that the Jacobian of a curve is a principally polarized abelian variety, and the divisor that defines its polarization is irreducible. However, there are examples of Jacobians that are isomorphic as varieties to the product of elliptic curves, and so these must contain a divisor that is as "reducible as possible". We will discuss these examples, and find a nice criterion, using intersection theory, for an abelian variety to contain an elliptic curve. Speaker:  Robert Auffarth Institution:  Pontificia Universidad Católica de Chile Event Organizer:        Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.