On the difference between the ordinary height and the canonical height on elliptic curves

On the difference between the ordinary height and the canonical height on elliptic curves
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椭圆曲线上普通高度与规范高度的区别

DOI:
10.3792/pjaa.82.56
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发表时间:
2006
期刊:
--
影响因子:
--
通讯作者:
Y. Uchida
Y. Uchida
中科院分区:
--
文献类型:
--
作者:
Y. Uchida

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我们估计了数域上椭圆曲线的正常高度与标准高度之差的界。我们的结果是Cremona,Prickett和Siksek最近结果的改进(J. Number Theory 116(2006),42-68)。我们的边界通常比其他已知的边界更尖锐。
We estimate the bounds for the difference between the ordinary height and the canonical height on elliptic curves over number fields. Our result is an improvement of the recent result of Cremona, Prickett, and Siksek (J. Number Theory 116 (2006), 42-68). Our bounds are usually sharper than the other known bounds.
椭圆曲线上的普通高度和规范高度之间的差异
DOI: --
发表时间: 2008
期刊: J.Number Theory 128
影响因子: --
作者:
中村奈良江;行場次朗;渡邊均;高野尚子;長谷川浩一;安藤花恵;Hanae Ando;Y. Uchida
通讯作者: Y. Uchida