Congruence Veech groups

DOI10.1007/s11856-016-1366-xzbMath1353.32020arXiv1403.4860OpenAlexW2963006527MaRDI QIDQ312326

Myriam Finster

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4860

zbMATH Keywords

Veech groupstranslation surfacescongruence groupscongruence level

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Compact complex surfaces (32J15) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Classification theory of Riemann surfaces (30F20)

Cites Work

• Arithmetic Veech sublattices of SL\((2,\mathbf {Z})\)
• A series of coverings of the regular \(n\)-gon
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Topological transitivity of billiards in polygons
• Affine mappings of translation surfaces: Geometry and arithmetic
• Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve
• An extension of F. Klein's level concept
• Concerning the transitive properties of geodesics on a rational polyhedron
• Realizability of Branched Coverings of Surfaces
• Planar structures and billiards in rational polygons: the Veech alternative
• The Deficiency of being a Congruence Group for Veech Groups of Origamis
• Invariants of translation surfaces
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