In todays lecture we more ¡­

In todays lecture we more or less covered material from II.2-4 in Silverman's book, ending with the introduction of differentials and defining divisors from differentials on a smooth curve.

Next lecture is on Tuesday 04.09, 12:15-13:00 as usual. Then II.5 will be discussed, where we get further acquainted with divisors on curves. In particular, we study the Riemann-Roch formula, and define the genus of an algebraic curve.

After this, we have all the tools we need to start talking about elliptic curves. This will be the topic of the lecture on Thursday 06.09. I will then start lecturing from Chapter III in Silveman's book.