English

A construction of generalized elliptic curves from twisted curves

Algebraic Geometry 2014-11-10 v1 Number Theory

Abstract

We introduce a procedure for constructing a generalized elliptic curve from a genus-one twisted curve, and we use this procedure to define an explicit, modular isomorphism between two compactifications of moduli stacks of elliptic curves with level structure.

Keywords

Cite

@article{arxiv.1411.1954,
  title  = {A construction of generalized elliptic curves from twisted curves},
  author = {Andrew Niles},
  journal= {arXiv preprint arXiv:1411.1954},
  year   = {2014}
}

Comments

10 pages. Draws heavily from arXiv:1207.7280