In my Diplomarbeit I have proved the Hasse-Weil conjecture for an elliptic curve over an imaginary quadratic field which has no complex multiplication. In this talk I shall survey the background and some of the ingredients of my work.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246