Geodesic
Billiards and Teichmüller curves on Hilbert modular surfaces
McMullen, Curtis1
1Mathematics Department, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138-2901
Journal of the American Mathematical Society, Tome 16 (2003) no. 4, pp. 857-885

Voir la notice de l'article provenant de la source American Mathematical Society

This paper exhibits an infinite collection of algebraic curves isometrically embedded in the moduli space of Riemann surfaces of genus two. These Teichmüller curves lie on Hilbert modular surfaces parameterizing Abelian varieties with real multiplication. Explicit examples, constructed from L-shaped polygons, give billiard tables with optimal dynamical properties.
DOI : 10.1090/S0894-0347-03-00432-6

McMullen, Curtis  1

1 Mathematics Department, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138-2901 
McMullen, Curtis. Billiards and Teichmüller curves on Hilbert modular surfaces. Journal of the American Mathematical Society, Tome 16 (2003) no. 4, pp. 857-885. doi: 10.1090/S0894-0347-03-00432-6
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