%0 Generic %1 Stover2010 %A Stover, Matthew %D 2010 %K modular picard surfaces volumes %T Volumes of Picard modular surfaces %U http://arxiv.org/abs/1005.4436 %X We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2-orbifolds. We then show that every arithmetic cusped complex hyperbolic 2-manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds.

@misc{Stover2010, abstract = { We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2-orbifolds. We then show that every arithmetic cusped complex hyperbolic 2-manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds. }, added-at = {2010-06-01T15:42:08.000+0200}, author = {Stover, Matthew}, biburl = {https://www.bibsonomy.org/bibtex/2254f124821d43111dcb5e3d61a489550/uludag}, description = {[1005.4436] Volumes of Picard modular surfaces}, interhash = {5994a75dcfc92069fb5253752c6fc694}, intrahash = {254f124821d43111dcb5e3d61a489550}, keywords = {modular picard surfaces volumes}, note = {cite arxiv:1005.4436 }, timestamp = {2010-06-01T15:42:08.000+0200}, title = {Volumes of Picard modular surfaces}, url = {http://arxiv.org/abs/1005.4436}, year = 2010 }