Large p-groups actions with a p-elementary abelian second ramification group
| dc.creator | Rocher, Magali | |
| dc.date | 2008-01-24 | |
| dc.date.accessioned | 2026-07-07T13:16:37Z | |
| dc.date.available | 2026-07-07T13:16:37Z | |
| dc.description | 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 "big 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. | |
| dc.identifier | https://arxiv.org/abs/0801.3834 | |
| dc.identifier | http://arxiv.org/abs/0801.3834 | |
| dc.identifier | Journal of Algebra 321, 2 (2009) 704-740 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230847 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14H10, 14H37, 20D15 | |
| dc.title | Large p-groups actions with a p-elementary abelian second ramification group | |
| dc.type | text |