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Y. Henrio

Publications and source records attributed to Y. Henrio.

2 recordsLinked to original sources
arXiv2000

Arbres de Hurwitz et automorphismes d'ordre p des disques et des couronnes p-adiques formels

Let R be a complete discrete valuation ring of mixed characteristics (0,p). Given an order p-automorphism of a formal disc (or annulus) over R, we describe the minimal semi-stable model for which the specialisations of fixed points are distincts and lie in the smooth locus of the special fiber. The description leads to a combinatorial object called Hurwitz tree. Our main result is a necessary and sufficient condition for a Hurwitz tree to arise from an order p-automorphism.

math.AG↗
arXiv2000

Relèvement galoisien des revêtements de courbes nodales

Let R be a complete discrete valuation ring of mixed characteristics, with algebraically closed residue field k. We study the existence problem of equivariant liftings to R of Galois covers of nodal curves over k. Using formal geometry, we show that this problem is actually a local one. We apply this local-to-global principle to obtain new results concerning the existence of such liftings.

math.AG↗