Add to ORKGThis is an extended version of an expository talk given at a seminar1 on Mazur’s torsion theorem, summarizing work on generalizations to number fields and related results
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Let d be an integer and let K be a number field of degree d over Q. By the Mordell- Weil theorem we ...
Abstract. In a recent paper by M. Wieczorek, a claim is made regarding the possible rational torsion...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Let be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of ...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
In this paper we construct infinite families of elliptic curves with given torsion group structures ...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
Barry Mazur famously classified the finitely many groups that can occur as a torsion subgroup of an ...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Let d be an integer and let K be a number field of degree d over Q. By the Mordell- Weil theorem we ...
Abstract. In a recent paper by M. Wieczorek, a claim is made regarding the possible rational torsion...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Let be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of ...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
In this paper we construct infinite families of elliptic curves with given torsion group structures ...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
Barry Mazur famously classified the finitely many groups that can occur as a torsion subgroup of an ...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Let d be an integer and let K be a number field of degree d over Q. By the Mordell- Weil theorem we ...
Abstract. In a recent paper by M. Wieczorek, a claim is made regarding the possible rational torsion...