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- W1610571004 abstract "Let $k$ be an algebraically closed field of characteristic $p>0$ and $C$ a connected nonsingular projective curve over $k$ with genus $g geq 2$. Let $(C,G)$ be a action, i.e. a pair $(C,G)$ where $G$ is a $p$-subgroup of the $k$-automorphism group of $C$ such that$frac{|G|}{g} >frac{2 p}{p-1}$. We denote by $G_2$ the second ramification group of $G$ at the unique ramification point of the cover $C to C/G$. The aim of this paper is to describe the big actions whose $G_2$ is $p$-elementary abelian. In particular, we obtain a structure theorem by considering the $k$-algebra generated by the additive polynomials. We more specifically explore the case where there is a maximal number of jumps in the ramification filtration of $G_2$. In this case, we display some universal families." @default.
- W1610571004 created "2016-06-24" @default.
- W1610571004 creator A5080059009 @default.
- W1610571004 date "2008-01-24" @default.
- W1610571004 modified "2023-09-25" @default.
- W1610571004 title "Large p-groups actions with a p-elementary abelian second ramification group" @default.
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