Dirichlet motives via modular curves, by Annette Huber and Guido Kings

We construct classes in K-theory for Dirichlet motives and compute their regulators. In particular, we show that the extensions constructed by Harder in sheaf theoretic terms are induced by elements in K-theory. The main ingredient for the constructions is Beilinson's Eisenstein symbol on modular curves.

Annette Huber <huber@math.uni-muenster.de>
Guido Kings <kings@math.uni-muenster.de>