Local monodromy in non-archimedean analytic geometry -- fifth release

Mathematics – Algebraic Geometry

Scientific paper

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79 pages, amslatex, uses xypic for diagrams. More misprints and mistakes have been fixed. Several new results have been added.

Scientific paper

We study the topology of the punctured disc defined over a non-archimedean
field of characteristic zero. Chapter two includes a new proof of the so-called
p-adic Riemann existence theorem. This release completes the study of breaks
and break decompositions of the monodromy representation of a sheaf around the
origin of the punctured disc.

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