Arbres de Hurwitz et automorphismes dordre p des disques et des couronnes p-adiques formelsReport as inadecuate



 Arbres de Hurwitz et automorphismes dordre p des disques et des couronnes p-adiques formels


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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.



Author: Y. Henrio

Source: https://archive.org/



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