On etale fundamental groups of formal fibres of p-adic curves
Saidi, M
Date: 25 March 2020
Journal
Tohoku Mathematical Journal
Publisher
Tohoku University, Mathematical Institute
Publisher DOI
Abstract
We investigate a certain class of (geometric) finite (Galois) coverings of
formal fibres of p-adic curves and the corresponding quotient of the (geometric) ´etale
fundamental group. A key result in our investigation is that these (Galois) coverings
can be compactified to finite (Galois) coverings of proper p-adic curves. We also ...
We investigate a certain class of (geometric) finite (Galois) coverings of
formal fibres of p-adic curves and the corresponding quotient of the (geometric) ´etale
fundamental group. A key result in our investigation is that these (Galois) coverings
can be compactified to finite (Galois) coverings of proper p-adic curves. We also prove
that the maximal prime-to-p quotient of the geometric ´etale fundamental group of
a (geometrically connected) formal fibre of a p-adic curve is (pro-)prime-to-p free of
finite computable rank
Mathematics and Statistics
Faculty of Environment, Science and Economy
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