English

The Neron model over the Igusa curves

Algebraic Geometry 2010-06-08 v2 Number Theory

Abstract

We analyze the geometry of rational p-division points in degenerating families of elliptic curves in characteristic p. We classify the possible Kodaira symbols and determine for the Igusa moduli problem the reduction type of the universal curve. Special attention is paid to characteristic 2 and 3 where wild ramification and stacky phenomena show up.

Cite

@article{arxiv.0810.0924,
  title  = {The Neron model over the Igusa curves},
  author = {Christian Liedtke and Stefan Schroeer},
  journal= {arXiv preprint arXiv:0810.0924},
  year   = {2010}
}

Comments

44 pages, minor changes

R2 v1 2026-06-21T11:27:38.959Z