Publication: Billiards and Teichmüller Curves on Hilbert Modular Surfaces
Loading...
Open/View Files
Date
2003
Authors
Published Version
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
The Harvard community has made this article openly available. Please share how this access benefits you.
Citation
McMullen, Curtis T. 2003. Billiards and Teichmüller curves on Hilbert modular surfaces. Journal of the American Mathematical Society 16: 857-885. Revised 2009.
Abstract
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.
Description
Other Available Sources
Research Data
Keywords
Terms of Use
This article is made available under the terms and conditions applicable to Other Posted Material (LAA), as set forth at Terms of Service