Robert Garbary, Pure Mathematics, University of Waterloo
“More on Jac(C)”
I’m going to keep going where David left off, talking about Jac(C) in terms of symmetric powers of C. More precisely, for some large n (large meaning big enough to make the Riemann-Roch theorem have a nice form), we define J to be the set of linear systems of degree n on C. There is a natural fibration from Symn(C) → J, whose fibres are projective spaces. Then I’m going to use the nice structure of Symn(C) and the fibration to get a group law on J.
Please note time.