Gerd Faltings has also suggested a simplification of our argument and we would like to thank him for allowing us to reproduce this in the appendix to this paper.
---- 附录中是Faltings建议的简化.
---- 更短的表述能增加“熵密度”.
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R.T. would like to thank A.W. for his invitation to collaborate on these problems and for sharing his many insights into the questions considered.
---- 作者之一向另一作者致谢.
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R.T. would also like to thank Princeton University, Universite de Paris 7 and Harvard University for their hospitality during some of the work on this paper.