Large p-groups actions with a p-elementary abelian second ramification group

Details Large p-groups actions with a p-elementary abelian second ramification group Large p-groups actions with a p-elementary abelian second ramification group

2008-01-24

arxiv.org/abs/0801.3834v1

Journal of Algebra 321, 2 (2009) 704-740

Mathematics

Algebraic Geometry

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Large p-groups actions with a p-elementary abelian second ramification group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large p-groups actions with a p-elementary abelian second ramification group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large p-groups actions with a p-elementary abelian second ramification group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-411995