HONDA-TATE THEOREM FOR ELLIPTIC CURVES
HONDA-TATE THEOREM FOR ELLIPTIC CURVES
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椭圆曲线的 HONDA-TATE 定理
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发表时间：
2015
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通讯作者：
M. Papikian
中科院分区：
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作者：
M. Papikian
These are the notes from a reading seminar for graduate students that I organised at Penn State during the 2011-12 academic year. Tate’s isogeny theorem over finite fields, and the related Honda-Tate theorem, are important results in arithmetic geometry. The original papers by Tate [4], [5] prove these theorems for general abelian varieties, so, even if one is primarily interested in the case of elliptic curves, understanding the proofs requires some knowledge of the theory of abelian varieties. The goal of the seminar was to review some of the material in [1] and [2] necessary for understanding the statements of Tate isogeny theorem and Honda-Tate theorem for elliptic curves, and then to prove these theorems using only tools from the theory of elliptic curves.
