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math.CV2019
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…
math.CV2019
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…
math.GT2019
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…