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Oberseminar SoSe 2010 Zusammenfassung des Vortrags von C. Schoen (Duke/MPI Bonn)

A numerical look at the generalized Birch and Swinnerton-Dyer conjecture

The conjecture of the title relates the rank of a Chow group of a variety defined over a number field to the order of vanishing of an L-function at the center of the critical strip. The necessary background material will be recalled. Then an attempt to put the conjecture to a very modest test will be described. This is joint work with Joe Buhler and Jaap Top.