2 0 N ov 2 00 6 EXPLICIT n - DESCENT ON ELLIPTIC CURVES II . GEOMETRY
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چکیده
This is the second in a series of papers in which we study the n-Selmer group of an elliptic curve. In this paper, we show how to realize elements of the n-Selmer group explicitly as curves of degree n embedded in P n−1. The main tool we use is a comparison between an easily obtained embedding into P
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متن کاملEXPLICIT n-DESCENT ON ELLIPTIC CURVES II. GEOMETRY
This is the second in a series of papers in which we study the n-Selmer group of an elliptic curve. In this paper, we show how to realize elements of the n-Selmer group explicitly as curves of degree n embedded in Pn−1. The main tool we use is a comparison between an easily obtained embedding into Pn2−1 and another map into Pn2−1 that factors through the Segre embedding Pn−1×Pn−1 → Pn2−1. The c...
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تاریخ انتشار 2006