Large Selmer groups over number fields
نویسندگان
چکیده
منابع مشابه
Large Selmer groups over number fields
Let p be a prime number and M a quadratic number field, M , Q( √ p) if p ≡ 1 mod 4. We will prove that for any positive integer d there exists a Galois extension F/Q with Galois group D2p and an elliptic curve E/Q such that F contains M and the p-Selmer group of E/F has size at least pd.
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2009
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004109990132