Geodesic
On the Geometry of $p$ -Typical Covers in Characteristic $p$
Canadian journal of mathematics, Tome 60 (2008) no. 1, pp. 140-163

Voir la notice de l'article provenant de la source Cambridge University Press

For $p$ a prime, a $p$ -typical cover of a connected scheme on which $p\,=\,0$ is a finite étale cover whose monodromy group (i.e.,the Galois group of its normal closure) is a $p$ -group. The geometry of such covers exhibits some unexpectedly pleasant behaviors; building on work of Katz, we demonstrate some of these. These include a criterion for when a morphism induces an isomorphism of the $p$ -typical quotients of the étale fundamental groups, and a decomposition theorem for $p$ -typical covers of polynomial rings over an algebraically closed field.
DOI : 10.4153/CJM-2008-006-8
Mots-clés : 14F35 
Kedlaya, Kiran S. On the Geometry of $p$ -Typical Covers in Characteristic $p$. Canadian journal of mathematics, Tome 60 (2008) no. 1, pp. 140-163. doi: 10.4153/CJM-2008-006-8
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