%0 Generic %1 Deraux2008 %A Deraux, Martin %D 2008 %K ball delignemostow quotients %T Forgetful maps between Deligne-Mostow ball quotients %U http://arxiv.org/abs/0811.4286 %X We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livné fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds.

@misc{Deraux2008, abstract = { We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livn\'e fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds. }, added-at = {2010-06-01T15:17:20.000+0200}, author = {Deraux, Martin}, biburl = {https://www.bibsonomy.org/bibtex/286c13ba4139f123ce0da98ce3ebcf177/uludag}, description = {[0811.4286] Forgetful maps between Deligne-Mostow ball quotients}, interhash = {7a0b7c7867b3bad14799554245fe294b}, intrahash = {86c13ba4139f123ce0da98ce3ebcf177}, keywords = {ball delignemostow quotients}, note = {cite arxiv:0811.4286 }, timestamp = {2010-06-01T15:17:20.000+0200}, title = {Forgetful maps between Deligne-Mostow ball quotients}, url = {http://arxiv.org/abs/0811.4286}, year = 2008 }