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

  • Edoardo Ballico University of Trento (Italy)
Keywords: X-rank, elliptic curve, linearly normal elliptic curve

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.

Author Biography

Edoardo Ballico, University of Trento (Italy)
professor
Published
2015-11-05
Section
Articoli