Champs de Hurwitz

Details Champs de Hurwitz Champs de Hurwitz

2002-10-25

arxiv.org/abs/math/0210400v1

Mathematics

Algebraic Geometry

Scientific paper

On construit les champs de Hurwitz et on en donne quelques propri\'et\'es, essentiellement contenues dans SGA 1. Quelques applications de nature arithm\'etique en sont d\'eduites. We propose a construction of Hurwitz stacks and give some properties of them, most of which are consequences of SGA 1. Some applications of arithmetic flavor are then deduced.

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