Let p be a prime number and M a quadratic number field, M ≠ ℚ() 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
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
be an elliptic curve over Q of conductor N. Thanks to the work of Wiles and his followers [BCDT] we ...
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let ...
Let p be a prime number and M a quadratic number field, M not equal Q(root p) if p equivalent to 1 m...
It is known that, for every elliptic curve over ℚ, there exists a quadratic extension in which the r...
It is known that, for every elliptic curve over ℚ, there exists a quadratic extension in which the r...
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields...
AbstractIn this article, it is shown that certain kinds of Selmer groups of elliptic curves can be a...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
Let p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K ± the max...
A result due to R. Greenberg gives a relation between the cardinality of Selmer groups of elliptic c...
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
be an elliptic curve over Q of conductor N. Thanks to the work of Wiles and his followers [BCDT] we ...
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let ...
Let p be a prime number and M a quadratic number field, M not equal Q(root p) if p equivalent to 1 m...
It is known that, for every elliptic curve over ℚ, there exists a quadratic extension in which the r...
It is known that, for every elliptic curve over ℚ, there exists a quadratic extension in which the r...
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields...
AbstractIn this article, it is shown that certain kinds of Selmer groups of elliptic curves can be a...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
In this article, it is shown that certain kinds of Selmer groups of elliptic curves can be arbitrari...
Let p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K ± the max...
A result due to R. Greenberg gives a relation between the cardinality of Selmer groups of elliptic c...
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
be an elliptic curve over Q of conductor N. Thanks to the work of Wiles and his followers [BCDT] we ...
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let ...
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