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math.DG2025
Behaviour of the Schwarzian derivative on long complex projective tubes
Tommaso Cremaschi, Viola Giovannini
The Schwarzian derivative parametrizes the fibres of the space of complex projective structures on a surface as vector bundle over its Teichmüller space. We study its behaviour on…
math.DG2024
Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker
We provide conditions under which a Riemann surface is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalize…