English

On a good reduction criterion for proper polycurves with sections

Number Theory 2016-11-23 v2

Abstract

We give a good reduction criterion for proper polycurves with sections,i.e., successive extensions of family of curves with section, under mild assumption. This criterion is a higher dimensional version of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa.

Keywords

Cite

@article{arxiv.1609.07865,
  title  = {On a good reduction criterion for proper polycurves with sections},
  author = {Ippei Nagamachi},
  journal= {arXiv preprint arXiv:1609.07865},
  year   = {2016}
}
R2 v1 2026-06-22T16:00:55.184Z