The distribution of S-integral points on SL2-orbit closures of binary forms
نویسندگان
چکیده
We study the distribution of S-integral points on SL2-orbit closures of binary forms and prove an asymptotic formula for the number of S-integral points. This extends a result of Duke, Rudnick, and Sarnak. The main ingredients of the proof are the method of mixing developed by Eskin-McMullen and Benoist-Oh, Chambert-Loir-Tschinkel’s study of asymptotic volume of height balls, and Hassett-Tschinkel’s description of log resolutions of SL2-orbit closures of binary forms.
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عنوان ژورنال:
- J. London Math. Society
دوره 92 شماره
صفحات -
تاریخ انتشار 2015