Forgetful maps between Deligne–Mostow ball quotients
Copyright policy )Forgetful maps between Deligne–Mostow ball quotients
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�� 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.
- University of Grenoble France
- Joseph Fourier University France
- Institut Fourier France
- Grenoble Alpes University France
- French National Centre for Scientific Research France
Mathematics - Differential Geometry, Deligne-Mostow moduli spaces, Discrete subgroups of Lie groups, Ball quotients, Fibrations, degenerations in algebraic geometry, Differential Geometry (math.DG), holomorphic maps, FOS: Mathematics, Negative curvature complex manifolds, Compact analytic spaces, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]
Mathematics - Differential Geometry, Deligne-Mostow moduli spaces, Discrete subgroups of Lie groups, Ball quotients, Fibrations, degenerations in algebraic geometry, Differential Geometry (math.DG), holomorphic maps, FOS: Mathematics, Negative curvature complex manifolds, Compact analytic spaces, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]
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