Billiards and Teichmuller curves on Hilbert modular surfaces

被引:175
作者
McMullen, CT [1 ]
机构
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
关键词
D O I
10.1090/S0894-0347-03-00432-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:857 / 885
页数:29
相关论文
共 36 条
[1]  
Ahlfors L.V., 1960, Analytic functions, P45
[2]  
[Anonymous], 1992, GEOM FUNCT ANAL, DOI DOI 10.1007/BF01896876
[3]  
CALTA K, 2002, VEECH SURFACES COMPL
[4]   SUBVARIETIES OF THE MODULI SPACE OF CURVES PARAMETRIZING JACOBIANS WITH NONTRIVIAL ENDOMORPHISMS [J].
CILIBERTO, C ;
VANDERGEER, G .
AMERICAN JOURNAL OF MATHEMATICS, 1992, 114 (03) :551-570
[5]  
Ciliberto C., 1992, J ALGEBR GEOM, V1, P215
[6]   MODULAR EMBEDDINGS FOR SOME NON-ARITHMETIC FUCHSIAN-GROUPS [J].
COHEN, P ;
WOLFART, J .
ACTA ARITHMETICA, 1990, 56 (02) :93-110
[7]  
Cornfeld I. P., 1982, Ergodic Theory
[8]   Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials [J].
Eskin, A ;
Okounkov, A .
INVENTIONES MATHEMATICAE, 2001, 145 (01) :59-103
[9]  
Fathi A., 1979, ASTERISQUE, P66
[10]   SOME RESULTS ON MORDELL-WEIL GROUP OF JACOBIAN OF FERMAT CURVE [J].
GROSS, BH ;
ROHRLICH, DE .
INVENTIONES MATHEMATICAE, 1978, 44 (03) :201-224