Arithmetic Veech sublattices of SL\((2,\mathbf {Z})\)

DOI10.1215/00127094-1507412zbMath1244.32009arXiv0909.1851OpenAlexW1671793325MaRDI QIDQ408110

Jordan S. Ellenberg, David B. McReynolds

Publication date: 29 March 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1851

zbMATH Keywords

Veech groupsTeichmüller curve

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (15)

Tamely ramified covers of the projective line with alternating and symmetric monodromy ⋮ Congruence Veech groups ⋮ Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow ⋮ Loop subgroups of \(F_r\) and the image of their stabilizer subgroups in \(\mathrm{GL}_r(\mathbb Z)\). ⋮ Strata ofp‐origamis ⋮ Totally non-congruence Veech groups ⋮ Explicit Teichmüller curves with complementary series ⋮ Moduli interpretations for noncongruence modular curves ⋮ Fundamental domains and generators for lattice Veech groups ⋮ Book Review: Twisted Teichmüller curves ⋮ Non-congruence of homology Veech groups in genus two ⋮ Teichm\"uller dynamics in the eyes of an algebraic geometer ⋮ Veech groups of flat surfaces with poles ⋮ Braid groups and mapping class groups: The Birman–Hilden theory ⋮ Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards

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