Abstract
Every elliptic curve w 2 - z(z - 1)(z - y) = 0,y ≠ 0, 1 is a torus and, in particular, can be represented as an identification space of a parallelogram. The gluing maps are translations.
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References
Kerckhoff,S., Masur H., Smille J., Ergodicity of billiard fiows and quadratic differentials, Ann. of Math. 124 (1986), 293–311.
Ratner, M., On Roghunathan’s measure conjecture, Ann. of Math. 134 (1991), 545–607.
Strebel, K., Quadratic Differentials, Berlin- Heidelberg- New York, Springer 1984.
Veech WA Flat Surfaces Am. J. of Math. 115 (1993) in Press
Veech WA Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards, Inv. Math. 97 (1989), 553–583.
Veech WA The Teichmüller geodesic flow, Ann. of Math. 124 (1986), 441–530.
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© 1995 Plenum Press, New York
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Veech, W.A. (1995). Geometric Realizations of Hyperelliptic Curves. In: Takahashi, Y. (eds) Algorithms, Fractals, and Dynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0321-3_19
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DOI: https://doi.org/10.1007/978-1-4613-0321-3_19
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