Déformations formelles des revêtements sauvagement ramifiés de courbes algébriques
Déformations formelles des revêtements sauvagement ramifiés de courbes algébriques
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变形形式的变形
DOI：
10.1007/s002220000071
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发表时间：
1998
影响因子：
3.1
通讯作者：
Ariane Mézard
中科院分区：
文献类型：
--
作者：
J. Bertin;Ariane Mézard
Abstract.In this paper we study formal moduli for wildly ramified Galois covering. We prove a local-global principle. We then focus on the infinitesimal deformations of the Z/pZ-covers. We explicitly compute a deformation of an automorphism of order p which implies a universal obstruction for p>2. By deforming Artin-Schreier equations we obtain a lower bound on the dimension of the local versal deformation ring. At last, by comparing the global versal deformation ring to the complete local ring in a point of a moduli space, we determine the dimensions of the global and local versal deformation rings.
