@article{10_1090_S0894_0347_99_00293_3, author = {Goncharov, Alexander}, title = {Volumes of hyperbolic manifolds and mixed {Tate} motives}, journal = {Journal of the American Mathematical Society}, pages = {569--618}, publisher = {mathdoc}, volume = {12}, number = {2}, year = {1999}, doi = {10.1090/S0894-0347-99-00293-3}, url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-99-00293-3/} }