All Outputs (2)

Cutting sequences on Bouw-Moeller surfaces: an S-adic characterization (2019)
Journal Article
Davis, D., Pasquinelli, I., & Ulcigrai, C. (2019). Cutting sequences on Bouw-Moeller surfaces: an S-adic characterization. Annales Scientifiques de l’École Normale Supérieure, 52(4), 927-1023. https://doi.org/10.24033/asens.2401

Résumé. On considère un codage symbolique des géodésiques sur une famille de surfaces de Veech (surfaces de translation riches en symétries affines) récemment découverte par Bouw et Möller. Ces surfaces, comme l’a remarqué Hooper, peuvent être réalis... Read More about Cutting sequences on Bouw-Moeller surfaces: an S-adic characterization.

Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere (2016)
Journal Article
Pasquinelli, I. (2016). Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere. Conformal Geometry and Dynamics, 20(12), 235-281. https://doi.org/10.1090/ecgd/299

Deligne and Mostow constructed a class of lattices in $ PU(2,1)$ using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with t... Read More about Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere.