Billiards and Teichmüller Curves on Hilbert Modular Surfaces

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Billiards and Teichmüller Curves on Hilbert Modular Surfaces

Show simple item record McMullen, Curtis T. 2009-12-21T19:47:30Z 2003
dc.identifier.citation McMullen, Curtis T. 2003. Billiards and Teichmüller curves on Hilbert modular surfaces. Journal of the American Mathematical Society 16: 857-885. Revised 2009. en_US
dc.identifier.issn 0894-0347 en_US
dc.description.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. en_US
dc.description.sponsorship Mathematics en_US
dc.language.iso en_US en_US
dc.publisher American Mathematical Society en_US
dc.relation.isversionof doi:10.1090/S0894-0347-03-00432-6 en_US
dc.relation.hasversion en_US
dash.license LAA
dc.title Billiards and Teichmüller Curves on Hilbert Modular Surfaces en_US
dc.type Journal Article en_US
dc.description.version Author's Original en_US
dc.relation.journal Journal- American Mathematical Society en_US McMullen, Curtis T. 2009-12-21T19:47:30Z

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