The Néron model over the Igusa curves

Christian Liedtke, Stefan Schröer

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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.

Original languageEnglish
Pages (from-to)2157-2197
Number of pages41
JournalJournal of Number Theory
Volume130
Issue number10
DOIs
StatePublished - Oct 2010
Externally publishedYes

Keywords

  • Elliptic fibrations
  • Igusa curves
  • Neron models
  • P-Torsion sections

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