5 citations · 5 across the 3 of their papers we have counts for
5 papers
On Smoothness of the elements of some integrable Teichmüller spaces
Vincent Alberge, Melkana Brakalova
In this paper we focus on the integrable Teichmüller spaces, subspaces of the universal Teichmüller space, and we prove that elements of some of them are continuously differentiabl…
TeichmUller's work on the type problem (To appear in Vol. VII of the Handbook of Teichm{ü}ller theory, 2020)
Vincent Alberge, Melkana Brakalova-Trevithick, Athanase Papadopoulos
The type problem is the problem of deciding, for a simply connected Riemann surface, whether it is conformally equivalent to the complex plane or to the unit dic in the complex pla…
On five papers by Herbert Gr{ö}tzsch
Vincent Alberge, Athanase Papadopoulos
Herbert Gr{ö}tzsch is the main founder of the theory of quasicon-formal mappings. We review five of his papers, written between 1928 and 1932, that show the progress of his work fr…
On a stratification of the space of (projective) measured laminations
Vincent Alberge
We introduce a natural stratification of the space of projective classes of measured laminations on a complete hyperbolic surface of finite area. We prove a rigidity result, namely…
Convergence of some horocyclic deformations to the Gardiner-Masur boundary
Vincent Alberge
We introduce a deformation of Riemann surfaces and we are interested in the convergence of this deformation to a point of the Gardiner-masur boundary of Teichmueller space. This de…