On the stratification by X-ranks of a linearly normal elliptic curve X ⊂ P^n

Abstract

Let 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.

Keywords

• X-rank
• elliptic curve
• linearly normal elliptic curve