English

An interesting elliptic surface over an elliptic curve

Algebraic Geometry 2007-05-23 v2 Number Theory

Abstract

We study the elliptic modular surface attached to the commutator subgroup of the modular group. This has an elliptic curve as base and only one singular fibre. We employ an algebraic approach and then consider some arithmetic questions.

Keywords

Cite

@article{arxiv.math/0611103,
  title  = {An interesting elliptic surface over an elliptic curve},
  author = {Tetsuji Shioda and Matthias Schuett},
  journal= {arXiv preprint arXiv:math/0611103},
  year   = {2007}
}

Comments

12 pages; dedicated to Michel Raynaud; v2: added Prop. 5 and Section 7