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arXiv · 1811.11395

On homotopy exact sequences for normal schemes

Ippei Nagamachi
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Abstract

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 exact. Moreover, we give a characterization of when the kernel of the induced homomorphism between their fundamental groups is topologically finitely generated, for the morphism from a smooth variety to a smooth curve.

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Ippei Nagamachi. 2018-11-28. On homotopy exact sequences for normal schemes. https://arxiv.org/abs/1811.11395

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