Three lectures on elliptic surfaces and curves of high rank

A. Néron, Problèmes arithmétiques et géométriques rattachés à la notion de rang d’une courbe algébrique dans un corps

1952

Earlier work this paper cites.

I. R. Šafarevič and J. Tate, The rank of elliptic curves

1967

Earlier work this paper cites.

I. Piateckii-Shapiro and I. R. Šafarevič, A Torelli theorem for algebraic surfaces of type K3

1971

Earlier work this paper cites.

H. Inose, Defining equations of singular K3 surfaces and a notion of isogeny

1977

Earlier work this paper cites.

B. Mazur, Modular curves and the Eisenstein ideal

1977

Earlier work this paper cites.

D. A. Cox, Mordell–

1982

Earlier work this paper cites.

J.-P. Serre, Lectures on the Mordell–

1989

Earlier work this paper cites.

T. Shioda, On the Mordell–

1990

Earlier work this paper cites.

J.-F. Mestre, Courbes elliptiques de rang ≥ 11 \geq 11 sur 𝐐 ⁡ ( t ) {\bf Q}(t)

1991

Cited alongside, same era.

T. Shioda, An infinite family of elliptic curves over 𝐐 {\bf Q} with large rank via Néron’s method

1991

Cited alongside, same era.

T. Shioda, Some remarks on elliptic curves over function fields

1992

Cited alongside, same era.

J. H. Conway, and N. J. A. Sloane, Sphere Packings, Lattices and Groups

1993

Cited alongside, same era.

T. Shioda, On the rank of elliptic curves over 𝐐 ⁡ ( t ) {\bf Q}(t) arising from K3 surfaces

1994

Cited alongside, same era.

K.-i. Nishiyama, Examples of Jacobian fibrations on some K3 surfaces whose Mordell–

1995

Cited alongside, same era.

S. D. Galbraith, Rational points on X 0 + ​ ( p ) X_{0}^{+}(p)

1999

Later among the works it cites.

J. Chahal, M. Meijer, and J. Top, Sections on certain j = 0 j=0 elliptic surfaces

2000

Later among the works it cites.

K. Rubin and A. Silverberg, Ranks of elliptic curves

2002

Later among the works it cites.

D. Ulmer, Elliptic curves with large rank over function fields

2002

Later among the works it cites.

J. González and V. Rotger, Equations of Shimura curves of genus two

2004

Later among the works it cites.

A. Dujella, Infinite families of elliptic curves with high rank and prescribed torsion

2006

Later among the works it cites.