Title

On Shioda-Inose structures of one-parameter families of K3 surfaces

Document Type

Article

Publication Date

12-1-2004

Abstract

We develop an algorithm to determine a one-parameter family of elliptic curves associated to a one-parameter family of K3 surfaces with generic Picard number 19 by a Shioda-Inose structure. The family of elliptic curves is determined up to an isomorphism and an isogeny. An application to a generalized congruence number problem is also discussed. © 2004 Elsevier Inc. All rights reserved.

Publication Source (Journal or Book title)

Journal of Number Theory

First Page

299

Last Page

318

This document is currently not available here.

Share

COinS