Add to ORKGLet X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal cardinality of a set S ⊂ X such that P in \langle S \rangle.In this paper we give an almost complete description of the stratification of P^n given by the X-rank and the open X-rank
The parity of the analytic rank of an elliptic curve is given by the root number in the functional e...
AbstractLet E be an elliptic curve over a number field K which admits a cyclic p-isogeny with p⩾3 an...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal card...
ABSTRACT: In this paper we study the X-rank of points with respect to smooth linearly normal curves ...
International audienceIn this paper we study the $X$-rank of points with respect to smooth linearly ...
AbstractFor a global field K and an elliptic curve Eη over K(T), Silverman's specialization theorem ...
We show that the average and typical ranks in a certain parametric family of elliptic curves describ...
Suppose you are given an algebraic curve C defined over the rational number field, defined, let us s...
In this paper we improve the known bound for the $X$-rank $R_{X}(P)$ of an element $P\in {\mathbb{P}...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
In this paper we study the X-rank of points with respect to smooth linearly normal curves X containe...
All the results in this paper are conditional on the Riemann Hypothesis for the L-functions of ellip...
AbstractFix a finite field k, a positive integer d relatively prime to the characteristic of k, and ...
We study elliptic surfaces over $\mathbb{Q}(T)$ with coefficients of a Weierstrass model being polyn...
The parity of the analytic rank of an elliptic curve is given by the root number in the functional e...
AbstractLet E be an elliptic curve over a number field K which admits a cyclic p-isogeny with p⩾3 an...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal card...
ABSTRACT: In this paper we study the X-rank of points with respect to smooth linearly normal curves ...
International audienceIn this paper we study the $X$-rank of points with respect to smooth linearly ...
AbstractFor a global field K and an elliptic curve Eη over K(T), Silverman's specialization theorem ...
We show that the average and typical ranks in a certain parametric family of elliptic curves describ...
Suppose you are given an algebraic curve C defined over the rational number field, defined, let us s...
In this paper we improve the known bound for the $X$-rank $R_{X}(P)$ of an element $P\in {\mathbb{P}...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
In this paper we study the X-rank of points with respect to smooth linearly normal curves X containe...
All the results in this paper are conditional on the Riemann Hypothesis for the L-functions of ellip...
AbstractFix a finite field k, a positive integer d relatively prime to the characteristic of k, and ...
We study elliptic surfaces over $\mathbb{Q}(T)$ with coefficients of a Weierstrass model being polyn...
The parity of the analytic rank of an elliptic curve is given by the root number in the functional e...
AbstractLet E be an elliptic curve over a number field K which admits a cyclic p-isogeny with p⩾3 an...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...