Using Iwasawa theory, we establish some numerical results, and one weak theoretical result, about the enigmatic Tate-Shafarevich group of an elliptic curve defined over the rational field, with complex multiplication. These strengthen results of this kind proven in an earlier paper of ours
Since Gauss, ideal class groups of imaginary quadratic fields have been the focus of many investigat...
Let E/ℚ be a semistable elliptic curve, and p ≠ 2 a prime of bad multiplicative reduction. For each...
Recently new results have been obtained in the GL2 Iwasawa theory of elliptic curves without complex...
Using Iwasawa theory, we establish some numerical results, and one weak theoretical result, about th...
AbstractThe Tate–Shafarevich groups of certain elliptic curves over Fq(t) are related, via étale coh...
I would like to thank my advisor, Professor Karl Rubin, for all of the help and advice he has given ...
The Tate-Shafarevich group X(E/K) of an elliptic curve E over a number field K is defined a
Let E be an elliptic curve defined over the rationals Q, and p be a prime at least 5 where E has mul...
AbstractLet E be an elliptic curve over Q with complex multiplication. We give an explicit upper bou...
Let E/ℚ be a fixed elliptic curve over ℚ which does not have complex multiplication. Assuming the Ge...
This dissertation work concentrates on finding non-trivial elements in the Shafarevich-Tate group of...
Within the Tate-Shafarevich group of an elliptic curve E defined over a number field K, there is a c...
The conjecture of Birch and Swinnerton-Dyer is unquestionably one of the most important open problem...
Let $E$ be an elliptic curve over $\mathbb{Q}$. Let $p$ be an odd prime and $\iota: \overline{\mathb...
Let E/Q be a fixed elliptic curve overQwhich does not have complex multiplication.Assuming the Gener...
Since Gauss, ideal class groups of imaginary quadratic fields have been the focus of many investigat...
Let E/ℚ be a semistable elliptic curve, and p ≠ 2 a prime of bad multiplicative reduction. For each...
Recently new results have been obtained in the GL2 Iwasawa theory of elliptic curves without complex...
Using Iwasawa theory, we establish some numerical results, and one weak theoretical result, about th...
AbstractThe Tate–Shafarevich groups of certain elliptic curves over Fq(t) are related, via étale coh...
I would like to thank my advisor, Professor Karl Rubin, for all of the help and advice he has given ...
The Tate-Shafarevich group X(E/K) of an elliptic curve E over a number field K is defined a
Let E be an elliptic curve defined over the rationals Q, and p be a prime at least 5 where E has mul...
AbstractLet E be an elliptic curve over Q with complex multiplication. We give an explicit upper bou...
Let E/ℚ be a fixed elliptic curve over ℚ which does not have complex multiplication. Assuming the Ge...
This dissertation work concentrates on finding non-trivial elements in the Shafarevich-Tate group of...
Within the Tate-Shafarevich group of an elliptic curve E defined over a number field K, there is a c...
The conjecture of Birch and Swinnerton-Dyer is unquestionably one of the most important open problem...
Let $E$ be an elliptic curve over $\mathbb{Q}$. Let $p$ be an odd prime and $\iota: \overline{\mathb...
Let E/Q be a fixed elliptic curve overQwhich does not have complex multiplication.Assuming the Gener...
Since Gauss, ideal class groups of imaginary quadratic fields have been the focus of many investigat...
Let E/ℚ be a semistable elliptic curve, and p ≠ 2 a prime of bad multiplicative reduction. For each...
Recently new results have been obtained in the GL2 Iwasawa theory of elliptic curves without complex...
DOI
Add to ORKG