On homotopy exact sequences for normal schemes

2018/11/28 by Ippei Nagamachi, Nagamachi, Ippei
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1811.11395

20 pages

arxiv created 2021/11/03 · arxiv updated 2021/11/04

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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