Criteria for good reduction of proper polycurves

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.

References in corpus (2)

• Anabelian geometry with etale homotopy types
• On homotopy exact sequences for normal schemes