Congruence Veech groups
نویسندگان
چکیده
منابع مشابه
Origamis with non congruence Veech groups
The basic idea of an origami is to obtain a topological surface from a few combinatorial data by gluing finitely many Euclidean unit squares according to specified rules. These surfaces come with a natural translation structure. One assigns in general to a translation surface a subgroup of GL2(R) called the Veech group. In the case of surfaces defined by origamis, the Veech groups are finite in...
متن کاملInfinitely Generated Veech Groups
We give a positive response to a question of W. Veech: Infinitely generated Veech groups do exist.
متن کاملVeech Groups and Polygonal Coverings
We discuss branch points of a ne coverings and their e ects on Veech groups. In particular, this allows us to show that even if one polygon tiles another, the respective Veech groups are not necessarily commensurable. We also show that there is no universal bound on the number of Teichm uller disks passing through the same point of Teichm uller space and having incommensurable lattice Veech g...
متن کاملGeometry of Infinitely Generated Veech Groups
Veech groups uniformize Teichmüller geodesics in Riemann moduli space. We gave examples of infinitely generated Veech groups; see Duke Math. J. 123 (2004), 49–69. Here we show that the associated Teichmüller geodesics can even have both infinitely many cusps and infinitely many infinite ends.
متن کاملVeech Groups of Loch Ness Monsters
— We classify Veech groups of tame non-compact flat surfaces. In particular we prove that all countable subgroups of GL+(2, R) avoiding the set of mappings of norm less than 1 appear as Veech groups of tame non-compact flat surfaces which are Loch Ness monsters. Conversely, a Veech group of any tame flat surface is either countable, or one of three specific types. Résumé. — Nous classifions les...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2016
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-016-1366-x