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math.NT2018★ 1 cited
On homotopy exact sequences for normal schemes
Ippei Nagamachi
Consider a morphism between connected locally Noetherian normal schemes. In this paper, we discuss when the sequence of the etale fundamental groups associated to the morphism is e…
math.NT2018
Criteria for good reduction of proper polycurves
Ippei Nagamachi
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 o…