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Preprint Number 1964

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1964. Boris Zilber
Section and towers

Submission date: 12 April 2021


We discuss the towers of finite étale covers which were essentially introduced by A.Tamagawa. The statement about correspondence between sections and cofinal towers is a folklore but perhaps not in a very explicit form. The last section explains how the “injectivity statement” of Grothendieck section conjecture fails for abelian varieties, which is also known in some form. The paper is based on an earlier article which was aimed to reinterpret anabelian setting in model theory terms.

Mathematics Subject Classification:

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Full text arXiv 2104.05595: pdf, ps.

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