Work

Parallelopipeds of positive rank twists of elliptic curves

Year: 2011

Type: article

Abstract: For every n there exists an elliptic curve E over the rational numbers and an n-dimensional subspace V of non-zero rationals modulo squares such that for all v in V, the quadratic twist of E by v has positive rank.

Source: Indiana University Mathematics Journal

DOI: 10.1512/iumj.2011.60.4398

Authors: Bo-Hae Im, Michael Larsen

Institutions: Indiana University Bloomington, Indiana University, Chung-Ang University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Groups, Arithmetic and Monodromy

OpenAlex ID: W2962931179

FWCI:

Cites: 3

Cited by: 2

Related to: 10