English

Criteria for good reduction of proper polycurves

Number Theory 2020-01-03 v3

Abstract

We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under mild assumption. These criteria are higher dimensional version of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa.

Keywords

Cite

@article{arxiv.1801.08728,
  title  = {Criteria for good reduction of proper polycurves},
  author = {Ippei Nagamachi},
  journal= {arXiv preprint arXiv:1801.08728},
  year   = {2020}
}