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Article Dans Une Revue Geometriae Dedicata Année : 2011

Forgetful maps between Deligne-Mostow ball quotients

Martin Deraux

Résumé

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.
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Dates et versions

hal-00341618 , version 1 (25-11-2008)
hal-00341618 , version 2 (21-05-2010)

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Citer

Martin Deraux. Forgetful maps between Deligne-Mostow ball quotients. Geometriae Dedicata, 2011, 150, pp.377-389. ⟨10.1007/s10711-010-9511-x⟩. ⟨hal-00341618v2⟩

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