Book Review: Twisted Teichmüller curves
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Publication:2797792
DOI10.1090/bull/1510zbMath1332.00029OpenAlexW2322044320MaRDI QIDQ2797792
Publication date: 31 March 2016
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/bull/1510
Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Modular and Shimura varieties (14G35) External book reviews (00A17)
Cites Work
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- Semisimplicity and rigidity of the Kontsevich-Zorich cocycle
- Arithmetic Veech sublattices of SL\((2,\mathbf {Z})\)
- The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3
- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
- Fundamental domains and generators for lattice Veech groups
- Kobayashi geodesics in \(\mathcal A_g\)
- Shimura and Teichmüller curves
- Rigidity of Teichmüller curves
- The Arnoux-Yoccoz Teichmüller disc
- Erratum to: ``Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Algebraically periodic translation surfaces
- Characterizations of lattice surfaces
- Teichmüller curves, triangle groups, and Lyapunov exponents
- Ergodicity of billiard flows and quadratic differentials
- Gauss measures for transformations on the space of interval exchange maps
- The Caratheodory metric on abelian Teichmüller disks
- Interval exchange transformations and measured foliations
- Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
- Rational billiards and algebraic curves
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
- Billiards on rational-angled triangles
- Affine mappings of translation surfaces: Geometry and arithmetic
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- A characterization of certain Shimura curves in the moduli stack of abelian varieties
- Hilbert modular surfaces
- Infinitely generated Veech groups
- Teichmüller geodesics of infinite complexity.
- Nonvarying sums of Lyapunov exponents of abelian differentials in low genus
- Hodge-Teichmüller planes and finiteness results for Teichmüller curves
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Prime arithmetic Teichmüller discs in \({\mathcal H}(2)\)
- Ellipses in translation surfaces
- Orbifold points on Teichmüller curves and Jacobians with complex multiplication
- Thick-thin decomposition for quadratic differentials
- Euler characteristics of Teichmüller curves in genus two
- The theta characteristic of a branched covering
- Finiteness results for Teichmüller curves
- Veech groups without parabolic elements
- Prym varieties and Teichmüller curves
- Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve
- Teichmüller curves in genus two: Torsion divisors and ratios of sines
- The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
- Teichmüller curves in genus two: Discriminant and spin
- \(\mathrm{SL}(2,\mathbb R)\)-invariant probability measures on the moduli spaces of translation surfaces are regular
- Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two
- Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces
- The conformal geometry of billiards
- Bicuspid F -structures and Hecke groups
- Variations of Hodge structures of a Teichmüller curve
- From rational billiards to dynamics on moduli spaces
- Foliations of Hilbert modular surfaces
- On the geometry and dynamics of diffeomorphisms of surfaces
- Calculation of Fuchsian groups associated to billiards in a rational triangle
- Planar structures and billiards in rational polygons: the Veech alternative
- Billiards and Teichmüller curves on Hilbert modular surfaces
- Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures
- An Algorithm for Finding the Veech Group of an Origami
- Teichmüller curves in genus two: The decagon and beyond
- Veech surfaces and complete periodicity in genus two
- Grid Graphs and Lattice Surfaces
- An extraordinary origami curve
- Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
- On triangular billiards
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